![]() |
1 | Abikoff, W., The Real Analytic Theory of Teichm ü ller Space, vol. 820 of Lecture Notes in Mathematics, (Springer, Berlin, Germany; New York, U.S.A., 1980). |
![]() |
2 | Achúcarro, A., and Townsend, P.K., “A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories”, Phys. Lett. B, 180, 89-92, (1986). |
![]() |
3 |
Alekseev, A.Y., Grosse, H., and Schomerus, V.,
“Combinatorial quantization of the Hamiltonian
Chern-Simons theory I”,
Commun. Math. Phys.,
172, 317-358, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
4 |
Alekseev, A.Y., Grosse, H., and Schomerus, V.,
“Combinatorial Quantization of the Hamiltonian
Chern-Simons Theory II”,
Commun. Math. Phys.,
174, 561-604, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
5 | Alekseev, A.Y., and Malkin, A.Z., Commun. Math. Phys., 169, 99, (1995). |
![]() |
6 |
Amano, A., and Higuchi, S., “Topology change in ISO(2,1)
Chern-Simons gravity”,
Nucl. Phys.
B,
377, 218-235, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
7 | Amano, K., and Higuchi, S., “ISO(2,1) gauge fields and (2+1)-dimensional space-time”, Prog. Theor. Phys. Suppl., 110, 151, (1992). |
![]() |
8 |
Ambjørn, J., Carfora, M., and Marzuoli, A.,
The Geometry of Dynamical
Triangulations, vol. m50 of Lecture Notes in Physics, (Springer,
Berlin, Germany; New York, U.S.A., 1997). Related online
version (cited on 5 January 2005):
![]() |
![]() |
9 |
Ambjørn, J., Jurkiewicz, J., and Loll, R., “A
non-perturbative Lorentzian path integral for gravity”,
Phys. Rev. Lett.,
85, 924-927, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
10 |
Ambjørn, J., Jurkiewicz, J., and Loll, R., “Computer
simulations of 3-d Lorentzian quantum gravity”,
Nucl. Phys. B (Proc. Suppl.),
94, 689-692, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
11 |
Ambjørn, J., Jurkiewicz, J., and Loll, R., “Lorentzian 3d
Gravity with Wormholes via Matrix Models”,
J. High Energy Phys.,
09, 022, (2001). Related online version (cited on 5 January
2005):
![]() |
![]() |
12 |
Ambjørn, J., Jurkiewicz, J., and Loll, R.,
“Nonperturbative 3D Lorentzian quantum gravity”,
Phys. Rev. D,
64, 044011-1-17, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
13 |
Ambjørn, J., Jurkiewicz, J., and Loll, R., “3d
Lorentzian, dynamically triangulated quantum gravity”,
Nucl. Phys. B (Proc. Suppl.),
106, 980-982, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
14 |
Ambjørn, J., Jurkiewicz, J., and Loll, R.,
“Renormalization of 3d quantum gravity from matrix
models”,
Phys. Lett. B,
581, 255-262, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
15 |
Ambjørn, J., Jurkiewicz, J., Loll, R., and Vernizzi, G.,
“3D Lorentzian Quantum Gravity from the asymmetric ABAB
matrix model”,
Acta Phys. Pol. B,
34, 4667-4688, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
16 |
Ambjørn, J., and Loll, R., “Non-perturbative Lorentzian
Quantum Gravity, Causality and Topology Change”,
Nucl. Phys. B,
536, 407-434, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
17 |
Amelino-Camelia, G., “Testable scenario for relativity
with minimum length”,
Phys. Lett. B,
510, 255-263, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
18 |
Amelino-Camelia, G., Smolin, L., and Starodubtsev, A.,
“Quantum symmetry, the cosmological constant and Planck
scale phenomenology”,
Class. Quantum Grav.,
21, 3095-3110, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
19 |
Anderson, M., Carlip, S., Ratcliffe, J.G., Surya, S., and
Tschantz, S.T., “Peaks in the Hartle-Hawking Wave
Function from Sums over Topologies”,
Class. Quantum Grav.,
21, 729-742, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
20 |
Andersson, L., Moncrief, V., and Tromba, A.J., “On the
global evolution problem in 2+1 gravity”,
J. Geom. Phys.,
23, 191, (1997). Related online version (cited on 5 January
2005):
![]() |
![]() |
21 |
Anselmi, D., “Finiteness of quantum gravity coupled with
matter in three spacetime dimensions”,
Nucl. Phys. B,
687, 124-142, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
22 |
Anselmi, D., “Renormalization of quantum gravity coupled
with matter in three dimensions”,
Nucl. Phys. B,
687, 143-160, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
23 | Archer, F., and Williams, R.M., “The Turaev-Viro state sum model and three-dimensional quantum gravity”, Phys. Lett. B, 273, 438-444, (1991). |
![]() |
24 |
Arcioni, G., Blau, M., and O’Loughlin, M., “On the
Boundary Dynamics of Chern-Simons Gravity”,
J. High Energy Phys.,
01, 067, (2003). Related online version (cited on 5 January
2005):
![]() |
![]() |
25 |
Arnowitt, R., Deser, S., and Misner, C.W., “The dynamics
of general relativity”, in Witten, L., ed.,
Gravitation: An Introduction to
Current Research, 227-265, (Wiley, New York, U.S.A., 1962). Related
online version (cited on 5 January 2005):
![]() |
![]() |
26 | Ashtekar, A., Lectures on Non-Perturbative Canonical Gravity, vol. 6 of Advanced Series in Astrophysics and Cosmology, (World Scientific, Singapore, 1991). |
![]() |
27 |
Ashtekar, A., “Large quantum gravity effects: Unexpected
limitations of the classical theory”,
Phys. Rev. Lett.,
77, 4864-4867, (1996). Related online version (cited on 5
January 2005):
![]() |
![]() |
28 | Ashtekar, A., Bombelli, L., and Reula, O.A., “Covariant phase space of asymptotically flat gravitational fields”, in Francaviglia, M., and Holm, D., eds., Mechanics, Analysis and Geometry: 200 Years after Lagrange, North-Holland Delta Series, 417-450, (North Holland, Amsterdam, Netherlands, 1990). |
![]() |
29 | Ashtekar, A., Husain, V., Rovelli, C., Samuel, J., and Smolin, L., “2+1 quantum gravity as a toy model for the 3+1 theory”, Class. Quantum Grav., 6, L185-L193, (1989). |
![]() |
30 |
Ashtekar, A., and Loll, R., “New loop representations for
2+1 gravity”,
Class. Quantum Grav.,
11, 2417-2434, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
31 | Ashtekar, A., and Magnon, A., “Quantum fields in curved space-times”, Proc. R. Soc. London, Ser. A, 346, 375-394, (1975). |
![]() |
32 |
Ashtekar, A., and Pierri, M., “Probing Quantum Gravity
Through Exactly Soluble Midi-Superspaces I”,
J. Math. Phys.,
37, 6250-6270, (1996). Related online version (cited on 5
January 2005):
![]() |
![]() |
33 |
Ashtekar, A., Wisniewski, J., and Dreyer, O., “Isolated
Horizons in 2+1 Gravity”,
Adv. Theor.
Math. Phys.,
6, 507-555, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
34 | Axelrod, S.E., DellaPietra, S., and Witten, E., “Geometric quantization of Chern-Simons gauge theory”, J. Differ. Geom., 33, 787-902, (1991). |
![]() |
35 |
Baez, J.C., “An Introduction to Spin Foam Models of
Quantum Gravity and BF Theory”, in Gausterer, H., Grosse,
H., and Pittner, L., eds.,
Geometry and Quantum Physics, Proceedings of the 38. Internationale
Universitätswochen für Kern- und Teilchenphysik,
Schladming, Austria, January 9-16, 1999, vol. 543 of
Lecture Notes in Physics, 25-64, (Springer, Berlin,
Germany; New York, U.S.A., 2000). Related online version
(cited on 5 January 2005):
![]() |
![]() |
36 |
Bais, F.A., and Muller, N.M., “Topological field theory
and the quantum double of SU(2)”,
Nucl. Phys. B,
530, 349-400, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
37 |
Bais, F.A., Muller, N.M., and Schroers, B.J., “Quantum
group symmetry and particle scattering in
(2+1)-dimensional quantum gravity”,
Nucl. Phys. B,
640, 3-45, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
38 |
Ballesteros, A., Rossano Bruno, N., and Herranz,
F.J., “Non-commutative relativistic spacetimes and
worldlines from 2+1 quantum (anti)de Sitter groups”,
(2004). URL (cited on 5 January 2005):
![]() |
![]() |
39 |
Bañados, M., “Three-dimensional quantum geometry and
black holes”, (1999). URL (cited on 5 January 2005):
![]() |
![]() |
40 |
Bañados, M., Henneaux, M., Teitelboim, C., and Zanelli,
J., “Geometry of the 2+1 Black Hole”,
Phys. Rev. D,
48, 1506-1525, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
41 |
Bañados, M., Teitelboim, C., and Zanelli, J., “The Black
Hole in Three Dimensional Space Time”,
Phys. Rev. Lett.,
69, 1849-1851, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
42 | Banks, T., Fischler, W., and Susskind, L., “Quantum cosmology in 2+1 and 3+1 dimensions”, Nucl. Phys. B, 262, 159-186, (1985). |
![]() |
43 | Bar-Natan, D., and Witten, E., “Perturbative expansion of Chern-Simons theory with non-compact gauge group”, Commun. Math. Phys., 141, 423-440, (1991). |
![]() |
44 |
Barbero, J.F., and Varadarajan, M., “The Phase Space of
2+1 Dimensional Gravity in the Ashtekar Formulation”,
Nucl. Phys. B,
415, 515-532, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
45 |
Barbero, J.F., and Varadarajan, M., “Homogeneous 2+1
Dimensional Gravity in the Ashtekar Formulation”,
Nucl. Phys. B,
456, 355-376, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
46 |
Barrett, J.W., “Geometrical measurements in
three-dimensional quantum gravity”,
Int. J. Mod.
Phys. A,
18S2, 97-113, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
47 |
Barrett, J.W., and Crane, L., “An algebraic
interpretation of the Wheeler-DeWitt equation”,
Class. Quantum Grav.,
14, 2113-2121, (1997). Related online version (cited on 5
January 2005):
![]() |
![]() |
48 |
Barrett, J.W., and Foxon, T.J., “Semiclassical limits of
simplicial quantum gravity”,
Class.
Quantum Grav.,
11, 543-556, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
49 | Barrow, J.D., Burd, A.B., and Lancaster, D., “Three-dimensional classical spacetimes”, Class. Quantum Grav., 3, 551-567, (1986). |
![]() |
50 |
Basu, S., “Perturbation theory in covariant canonical
quantization”, (2004). URL (cited on 5 January 2005):
![]() |
![]() |
51 |
Bautier, K., Englert, F., Rooman, M., and Spindel, P.,
“The Fefferman-Graham Ambiguity and AdS Black Holes”,
Phys. Lett. B,
479, 291-298, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
52 |
Becker, K., Becker, M., and Strominger, A.,
“Three-Dimensional Supergravity and the Cosmological
Constant”,
Phys. Rev. D,
51, 6603-6607, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
53 |
Beetle, C., “Midi-Superspace Quantization of Non-Compact
Toroidally Symmetric Gravity”,
Adv. Theor. Math. Phys.,
2, 471-495, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
54 |
Beliakova, A., and Durhuus, B., “Topological quantum
field theory and invariants of graphs for quantum
groups”,
Commun. Math. Phys.,
167, 395, (1995). Related online version (cited on 5 January
2005):
![]() |
![]() |
55 |
Benedetti, R., and Guadagnini, E., “Cosmological Time in
(2+1) - Gravity”,
Nucl. Phys. B,
613, 330-352, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
56 | Birman, J.S., “The algebraic structure of surface mapping class groups”, in Harvey, W.J., ed., Discrete Groups and Automorphic Functions, Proceedings of an instructional conference, Cambridge, England, 1975, 163-198, (Academic Press, London, U.K.; New York, U.S.A., 1977). |
![]() |
57 | Birman, J.S., and Hilden, H.M., “On the mapping class groups of closed surfaces as covering spaces”, in Ahlfors, L.V. et al., ed., Advances in the Theory of Riemann Surfaces, vol. 66 of Annals of Math. Studies, 81-115, (Princeton University Press, Princeton, U.S.A., 1971). |
![]() |
58 | Birmingham, D., and Carlip, S., unknown status. unpublished. |
![]() |
59 |
Birmingham, D., Sachs, I., and Sen, S., “Entropy of
Three-Dimensional Black Holes in String Theory”,
Phys. Lett. B,
424, 275-280, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
60 |
Boulatov, D., “A Model of Three-Dimensional Lattice
Gravity”,
Mod. Phys. Lett. A,
7, 1629-1646, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
61 |
Buffenoir, E., Noui, K., and Roche, P., “Hamiltonian
Quantization of Chern-Simons theory with SL(2,C) Group”,
Class. Quantum Grav.,
19, 4953-5015, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
62 | Canary, R.D., Epstein, D.B.A., and Green, P., in Epstein, D.B.A., ed., Analytical and Geometric Aspects of Hyperbolic Space: Warwick and Durham 1984, Papers presented at two symposia held at the Universities of Warwick and Durham, vol. 111 of London Mathematical Society Lecture Notes Series, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1987). |
![]() |
63 |
Cantini, L., and Menotti, P., “Functional approach to 2+1
dimensional gravity coupled to particles”,
Class. Quantum Grav.,
20, 845-858, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
64 |
Carbone, G., Carfora, M., and Marzuoli, A., “Quantum
states of elementary three-geometry”,
Class. Quantum Grav.,
19, 3761-3774, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
65 | Carlip, S., “Exact quantum scattering in 2 + 1 dimensional gravity”, Nucl. Phys. B, 324, 106-122, (1989). |
![]() |
66 | Carlip, S., “Observables, gauge invariance, and time in (2+1)-dimensional quantum gravity”, Phys. Rev. D, 42, 2647-2654, (1990). |
![]() |
67 | Carlip, S., “Measuring the metric in (2+1)-dimensional quantum gravity”, Class. Quantum Grav., 8, 5-17, (1991). |
![]() |
68 |
Carlip, S., “(2+1)-dimensional Chern-Simons gravity as a
Dirac square root”,
Phys. Rev. D,
45, 3584-3590, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
69 |
Carlip, S., “Entropy versus action in the (2 +
1)-dimensional Hartle-Hawking wave function”,
Phys. Rev. D,
46, 4387-4395, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
70 |
Carlip, S., “Modular group, operator ordering, and time
in (2+1)-dimensional gravity”,
Phys.
Rev. D,
47, 4520-4524, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
71 |
Carlip, S., “The Sum over Topologies in Three-Dimensional
Euclidean Quantum Gravity”,
Class. Quantum Grav.,
10, 207-218, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
72 |
Carlip, S., “Geometric structures and loop variables in
(2+1)-Dimensional gravity”, in Baez, J.C., ed.,
Knots and Quantum Gravity, Proceedings of a conference held at U. C. Riverside on
May 14-16th, 1993, vol. 1 of Oxford Lecture Series
in Mathematics and its Applications, (Clarendon Press;
Oxford University Press, Oxford, U.K.; New York, U.S.A.,
1994). Related online version (cited on 5 January 2005):
![]() |
![]() |
73 |
Carlip, S., “Notes on the (2+1)-Dimensional
Wheeler-DeWitt Equation”,
Class. Quantum
Grav.,
11, 31, (1994). Related online version (cited on 5 January
2005):
![]() |
![]() |
74 |
Carlip, S., “Six ways to quantize (2+1)-dimensional
gravity”, in Mann, R.B., and McLenaghan, R.G., eds.,
Proceedings of the 5th Canadian
Conference on General Relativity and Relativistic
Astrophysics, University of Waterloo 13-15 May, 1993, (World
Scientific, Singapore; River Edge, U.S.A., 1994). Related
online version (cited on 5 January 2005):
![]() |
![]() |
75 |
Carlip, S., “The (2+1)-Dimensional Black Hole”,
Class. Quantum Grav.,
12, 2853-2880, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
76 |
Carlip, S., “Lectures in (2+1)-Dimensional Gravity”,
J. Korean Phys. Soc.,
28, S447-S467, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
77 |
Carlip, S., “A Phase Space Path Integral for
(2+1)-Dimensional Gravity”,
Class. Quantum
Grav.,
12, 2201-2208, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
78 |
Carlip, S., “The Statistical Mechanics of the
(2+1)-Dimensional Black Hole”,
Phys. Rev. D,
51, 632-637, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
79 |
Carlip, S., “Spacetime Foam and the Cosmological
Constant”,
Phys. Rev. Lett.,
79, 4071-4074, (1997). Related online version (cited on 5
January 2005):
![]() |
![]() |
80 |
Carlip, S., “Dominant Topologies in Euclidean Quantum
Gravity”,
Class. Quantum Grav.,
15, 2629-2638, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
81 | Carlip, S., Quantum Gravity in 2+1 Dimensions, Cambridge Monographs on Mathematical Physics, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1998). |
![]() |
82 |
Carlip, S., “What We Don’t Know about BTZ Black Hole
Entropy”,
Class. Quantum Grav.,
15, 3609-3625, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
83 |
Carlip, S., “Quantum gravity: a Progress Report”,
Rep. Prog. Phys.,
64, 885-942, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
84 |
Carlip, S., and Cosgrove, R., “Topology Change in
(2+1)-Dimensional Gravity”,
J. Math.
Phys.,
35, 5477-5493, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
85 | Carlip, S., and Gegenberg, J., “Gravitating topological matter in 2+1 dimensions”, Phys. Rev. D, 44, 424-428, (1991). |
![]() |
86 |
Carlip, S., and Nelson, J.E., “Equivalent Quantisations
of (2+1)-Dimensional Gravity”,
Phys.
Lett. B,
324, 299-302, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
87 |
Carlip, S., and Nelson, J.E., “Comparative quantizations
of (2+1)-dimensional gravity”,
Phys.
Rev. D,
51, 5643-5653, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
88 |
Carlip, S., and Nelson, J.E., “Quantum modular group in
(2+1)-dimensional gravity”,
Phys.
Rev. D,
59, 024012-1-12, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
89 | Carlip, S., and Nelson, J.E., “Quantum modular group in (2+1)-dimensional gravity”, Heavy Ion Phys., 10, 361, (1999). |
![]() |
90 | Carter, J.S., Flath, D.E., and Saito, M., The classical and quantum 6 j -symbols, vol. 43 of Mathematical Notes, (Princeton University Press, Princeton, U.S.A., 1995). |
![]() |
91 |
Chen, Y.-J., “Quantum Liouville theory and BTZ black hole
entropy”,
Class. Quantum Grav.,
21, 1153-1180, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
92 | Clarke, C.J.S., The Analysis of Space-Time Singularities, Cambridge Lecture Notes in Physics, (Cambridge University Press, Cambridge, U.K., 1993). |
![]() |
93 | Cornfeld, I.P., Fomin, S.V., and Sinai, Y.G., Ergodic theory, vol. 245 of Grundlehren der mathematischen Wissenschaften, (Springer, New York, U.S.A., 1982). |
![]() |
94 | Cornish, N.J., and Frankel, N.E., “Gravitation in 2+1 dimensions”, Phys. Rev. D, 43, 2555-2565, (1991). |
![]() |
95 |
Cosgrove, R., “Consistent evolution with different time
slicings in quantum gravity”,
Class.
Quantum Grav.,
13, 891-919, (1996). Related online version (cited on 5
January 2005):
![]() |
![]() |
96 |
Coussaert, O., Henneaux, M., and van Driel, P., “The
asymptotic dynamics of three-dimensional Einstein gravity
with a negative cosmological constant”,
Class. Quantum Grav.,
12, 2961-2966, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
97 |
Criscuolo, A., Quevedo, H., and Waelbroeck, H.,
“Quantization of (2+1) gravity on the torus”, in Khanna,
F., and Vinet, L., eds.,
Field Theory, Integrable Systems
and Symmetries, Lectures from the Congress of the Canadian Association
of Physicists (CAP) held in Québec City, June 11-16,
1995, (CRM, Montreal, Canada, 1997)Related online
version:
![]() |
![]() |
98 | Crnkovic, C., and Witten, E., “Covariant description of canonical formalism in geometrical theories”, in Hawking, S.W., and Israel, W., eds., Three Hundred Years of Gravitation, 676-684, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1987). |
![]() |
99 |
Dasgupta, A., “The Real Wick Rotations in Quantum
Gravity”,
J. High Energy Phys.,
07, 062, (2002). Related online version (cited on 5 January
2005):
![]() |
![]() |
100 |
Dasgupta, A., and Loll, R., “A proper-time cure for the
conformal sickness in quantum gravity”,
Nucl. Phys. B,
606, 357-379, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
101 |
Davids, S., “Semiclassical Limits of Extended Racah
Coefficients”,
J. Math. Phys.,
41, 924-943, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
102 |
Davids, S., “A State Sum Model for (2+1) Lorentzian
Quantum Gravity”, (2001). URL (cited on 5 January 2005):
![]() |
![]() |
103 | de Sousa Gerbert, P., and Jackiw, R., “The Analysis of Space-Time Singularities”, Commun. Math. Phys., 124, 229-260, (1989). |
![]() |
104 |
de Wit, B., Matschull, H.-J., and Nicolai, H.,
“Physical States in d=3,N=2 Supergravity”,
Phys. Lett. B,
318, 115-121, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
105 | Deser, S., and Jackiw, R., “Three-dimensional cosmological gravity: Dynamics of constant curvature”, Ann. Phys. (N.Y.), 153, 405-416, (1984). |
![]() |
106 | Deser, S., and Jackiw, R., “Classical and quantum scattering on a cone”, Commun. Math. Phys., 118, 495-509, (1988). |
![]() |
107 | Deser, S., Jackiw, R., and ’t Hooft, G., “Three dimensional Einstein gravity: Dynamics of at space”, Ann. Phys. (N.Y.), 152, 220, (1984). |
![]() |
108 | Deser, S., and van Nieuwenhuizen, P., “Nonrenormalizability of the quantized Dirac-Einstein system”, Phys. Rev. D, 10, 411-420, (1974). |
![]() |
109 | DeWitt, B.S., “Gravity: a Universal Regulator?”, Phys. Rev. Lett., 13, 114-118, (1964). |
![]() |
110 | DeWitt, B.S., “Quantum Theory of Gravity. I. The Canonical Theory”, Phys. Rev., 160, 1113-1148, (1967). |
![]() |
111 |
Dijkgraaf, R., Maldacena, J.M., Moore, G.W., and
Verlinde, E., “A Black Hole Farey Tail”, (2000). URL
(cited on 5 January 2005):
![]() |
![]() |
112 | Dirac, P.A.M., “Generalized Hamiltonian dynamics”, Can. J. Math., 2, 129-148, (1950). |
![]() |
113 | Dirac, P.A.M., “The Hamiltonian form of field dynamics”, Can. J. Math., 3, 1, (1951). |
![]() |
114 | Dirac, P.A.M., “Generalized Hamilton dynamics”, Proc. R. Soc. London, Ser. A, 246, 326, (1958). |
![]() |
115 |
Dittrich, B., and Loll, R., “Hexagon model for 3D
Lorentzian quantum cosmology”,
Phys. Rev.
D,
66, 084016-1-15, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
116 | Elitzur, S., Moore, G.W., Schwimmer, A., and Seiberg, N., “Remarks on the canonical quantization of the Chern-Simons-Witten theory”, Nucl. Phys. B, 326, 108-134, (1989). |
![]() |
117 |
Ezawa, K., “Addendum to “Classical and Quantum Evolutions
of the de Sitter and the anti-de Sitter Universes in 2+1
dimensions””,
Phys. Rev. D,
50, 2935-2938, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
118 |
Ezawa, K., “Transition Amplitude in 2+1 dimensional
Chern-Simons Gravity on a Torus”,
Int.
J. Mod. Phys. A,
9, 4727-4746, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
119 |
Ezawa, K., “Chern-Simons quantization of (2+1)-anti-de
Sitter gravity on a torus”,
Class.
Quantum Grav.,
12, 373-391, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
120 | Fay, J.D., “Fourier coefficients of the resolvent for a Fuchsian group”, J. reine angew. Math., 293, 143, (1977). |
![]() |
121 | Fischer, A., and Tromba, A., “On a purely Riemmanian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface”, Math. Ann., 267, 311-345, (1984). |
![]() |
122 | Fock, V.V., and Rosly, A.A., “Poisson structure on moduli of flat connections on Riemann surfaces and the r -matrix”, Am. Math. Soc. Transl., 191, 67-86, (1999). |
![]() |
123 |
Forni, D.M., Iriondo, M., and Kozameh, C.N., “Null
surfaces formulation in 3D”,
J. Math.
Phys.,
41, 5517-5534, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
124 | Franzosi, R., and Guadagnini, E., “Topology and classical geometry in (2 + 1) gravity”, Class. Quantum Grav., 13, 433-460, (1996). |
![]() |
125 |
Freidel, L., “A Ponzano-Regge model of Lorentzian
3-dimensional gravity”,
Nucl. Phys. B
(Proc. Suppl.),
88, 237-240, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
126 |
Freidel, L., Kowalski-Glikman, J., and Smolin, L., “2+1
gravity and Doubly Special Relativity”,
Phys. Rev. D,
69, 044001, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
127 |
Freidel, L., and Krasnov, K., “Discrete spacetime volume
for three-dimensional BF theory and quantum gravity”,
Class. Quantum Grav.,
16, 351-362, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
128 |
Freidel, L., and Krasnov, K., “Spin Foam Models and the
Classical Action Principle”,
Adv.
Theor. Math. Phys.,
2, 1183-1247, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
129 |
Freidel, L., and Livine, E.R., “Spin Networks for
Non-Compact Groups”,
J. Math. Phys.,
44, 1322-1356, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
130 |
Freidel, L., Livine, E.R., and Rovelli, C., “Spectra of
length and area in (2 + 1) Lorentzian loop quantum
gravity”,
Class. Quantum Grav.,
20, 1463-1478, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
131 |
Freidel, L., and Louapre, D., “Diffeomorphisms and spin
foam models”,
Nucl. Phys. B,
662, 279-298, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
132 |
Freidel, L., and Louapre, D., “Non-perturbative summation
over 3D discrete topologies”,
Phys.
Rev. D,
68, 104004, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
133 | Fujiwara, Y., “Geometrical construction of holonomy in three-dimensional hyperbolic manifold”, Class. Quantum Grav., 10, 219-232, (1993). |
![]() |
134 | Fujiwara, Y., Higuchi, S., Hosoya, A., Mishima, T., and Siino, M., “Nucleation of a universe in (2+1)-dimensional gravity with a negative cosmological constant”, Phys. Rev. D, 44, 1756-1762, (2001). |
![]() |
135 | Fujiwara, Y., and Soda, J., “Teichmüller Motion of (2+1)-Dimensional Gravity with the Cosmological Constant”, Prog. Theor. Phys., 83, 733-748, (1990). |
![]() |
136 | Gambini, R., and Pullin, J., Loops, Knots, Gauge Theories and Quantum Gravity, Cambridge Monographs on Mathematical Physics, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1996). |
![]() |
137 |
Gambini, R., and Pullin, J., “Large quantum gravity
effects: backreaction on matter”,
Mod.
Phys. Lett. A,
12, 2407-2414, (1997). Related online version (cited on 5
January 2005):
![]() |
![]() |
138 |
Gambini, R., and Pullin, J., “Consistent discretization
and loop quantum geometry”, (2004). URL (cited on 5
January 2005):
![]() |
![]() |
139 |
García-Islas, J. Manuel, “Observables in
3-dimensional quantum gravity and topological
invariants”,
Class. Quantum Grav.,
21, 3933-3952, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
140 | Gegenberg, J., Kunstatter, G., and Leivo, H.P., “Topological matter coupled to gravity in 2 + 1 dimensions”, Phys. Lett. B, 252, 381-386, (1990). |
![]() |
141 | Gibbons, G.W., and Hartle, J.B., “Real tunneling geometries and the large-scale topology of the universe”, Phys. Rev. D, 42, 2458-2468, (1990). |
![]() |
142 | Gibbons, G.W., Hawking, S.W., and Perry, M.J., “Path integrals and the indefiniteness of the gravitational action”, Nucl. Phys. B, 138, 141-150, (1978). |
![]() |
143 |
Giulini, D., and Louko, J., “Diffeomorphism invariant
subspaces in Witten’s 2+1 quantum gravity on
R
×
T
2
”,
Class. Quantum Grav.,
12, 2735-2746, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
144 |
Giulini, D., and Marolf, D., “On the Generality of
Refined Algebraic Quantization”,
Class.
Quantum Grav.,
16, 2479-2488, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
145 | Goldman, W.M., “The symplectic nature of fundamental groups of surfaces”, Adv. Math., 54, 200-225, (1984). |
![]() |
146 | Goldman, W.M., “Invariant functions on Lie groups and Hamiltonian flows of surface group representations”, Invent. Math., 85, 263-302, (1986). |
![]() |
147 | Goldman, W.M., in Goldman, W.M., and Magid, A.R., eds., Geometry of Group Representations, Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 5-11, 1987, vol. 74 of Contemporary Mathematics, (American Mathematical Society, Providence, U.S.A., 1988). |
![]() |
148 | Goldman, W.M., “Topological components of spaces of representation”, Invent. Math., 93, 557-607, (1988). |
![]() |
149 | Goroff, M.H., and Sagnotti, A., “The ultraviolet behavior of Einstein gravity”, Nucl. Phys. B, 266, 709-736, (1986). |
![]() |
150 |
Gukov, S., “Three-Dimensional Quantum Gravity,
Chern-Simons Theory, and the A-Polynomial”, (2003). URL
(cited on 5 January 2005):
![]() |
![]() |
151 | Hamber, H.W., and Williams, R.M., “Simplicial quantum gravity in three dimensions: Analytical and numerical results”, Phys. Rev. D, 47, 510-532, (1993). |
![]() |
152 | Hartle, J.B., and Hawking, S.W., “Wave function of the Universe”, Phys. Rev. D, 28, 2960-2975, (1983). |
![]() |
153 | Hasslacher, B., and Perry, M.J., “Spin networks are simplicial quantum gravity”, Phys. Lett. B, 103, 21-24, (1981). |
![]() |
154 | Hawking, S.W., in Hawking, S.W., and Israel, W., eds., General Relativity: An Einstein Centenary Survey, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1979). |
![]() |
155 | Hayashi, N., “Quantum Hilbert Space of G(C) Cher-Simons-Witten Theory and Gravity”, Prog. Theor. Phys. Suppl., 114, 125-147, (1993). |
![]() |
156 |
Hollmann, H.R., and Williams, R.M., “Hyperbolic geometry
in ’t Hooft’s approach to (2 + 1)-dimensional gravity”,
Class. Quantum Grav.,
16, 1503-1518, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
157 |
Horowitz, G.T., and Welch, D.L., “Exact Three Dimensional
Black Holes in String Theory”,
Phys. Rev. Lett.,
71, 328-331, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
158 | Hosoya, A., “Quantum smearing of spacetime singularity”, Class. Quantum Grav., 12, 2967-2975, (1995). |
![]() |
159 | Hosoya, A., and Nakao, K., “(2+1)-dimensional pure gravity for an arbitrary closed initial surface”, Class. Quantum Grav., 7, 163-176, (1990). |
![]() |
160 | Hosoya, A., and Nakao, K., “(2+1)-dimensional quantum gravity”, Prog. Theor. Phys., 84, 739-748, (1990). |
![]() |
161 | Ionicioiu, R., “Amplitudes for topology change in Turaev-Viro theory”, Class. Quantum Grav., 15, 1885-1894, (1998). |
![]() |
162 |
Ionicioiu, R., and Williams, R.M., “Lens spaces and
handlebodies in three-dimensional quantum gravity”,
Class. Quantum Grav.,
15, 3469-3477, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
163 | Isenberg, J.A., and Marsden, J.E., “A slice theorem for the space of solutions of Einstein’s equations”, Phys. Rep., 89, 179-222, (1982). |
![]() |
164 | Isham, C.J., “Theta states induced by the diffeomorphism group in canonically quantized gravity”, in Duff, M.J., and Isham, C.J., eds., Quantum Structure of Space and Time, Proceedings of the Nuffield Workshop, Imperial College, London, 3-21 August, 1981, 37-52, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1982). |
![]() |
165 | Isham, C.J., Salam, A., and Strathdee, J., “Infinity Suppression in Gravity-Modified Quantum Electrodynamics”, Phys. Rev. D, 3, 1805-1817, (1971). |
![]() |
166 | Isham, C.J., Salam, A., and Strathdee, J., “Infinity Suppression in Gravity-Modified Electrodynamics. II”, Phys. Rev. D, 5, 2548-2565, (1972). |
![]() |
167 | Iwaniec, H., in Rankin, R.A., ed., Modular Forms, Papers from a symposium on modular forms held June 30-July 10, 1983, University of Durham, England, (Ellis Horwood; Halsted Press, Chichester, U.K.; New York, U.S.A., 1984). |
![]() |
168 |
Jejjala, V., Leigh, R.G., and Minic, D., “The
Cosmological Constant and the Deconstruction of Gravity”,
Phys. Lett. B,
556, 71-79, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
169 |
Kádár, Z., and Loll, R., “(2+1) gravity for higher genus
in the polygon model”,
Class.
Quantum Grav.,
21, 2465-2491, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
170 |
Kaloper, N., “Miens of The Three Dimensional Black Hole”,
Phys. Rev. D,
48, 2598-2605, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
171 |
Kowalski-Glikman, J., “Introduction to Doubly Special
Relativity”, (2004). URL (cited on 5 January 2005):
![]() |
![]() |
172 |
Krasnov, K., “On holomorphic factorization in
asymptotically AdS 3D gravity”,
Class.
Quantum Grav.,
20, 4015-4042, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
173 | Kuchař, K., in Kunstatter, G., Vincent, D.E., and Williams, J.G., eds., General Relativity and Relativistic Astrophysics, Proceedings of the 4th Canadian Conference, University of Winnipeg, 16-18 May, 1991, 211, (World Scientific, Singapore; River Edge, U.S.A., 1992). |
![]() |
174 | Kugo, T., unknown status. Kyoto preprint KUNS 1014 HE(TH)90/05 (1990). |
![]() |
175 | Lee, J., and Wald, R.M., “Local symmetries and constraints”, J. Math. Phys., 31, 725-473, (1990). |
![]() |
176 | Leutwyler, H., Nuovo Cimento, 42, 159, (1966). |
![]() |
177 |
Livine, E.R., and Oeckl, R., “Three-dimensional Quantum
Supergravity and Supersymmetric Spin Foam”,
Adv. Theor. Math. Phys.,
7, 951-1001, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
178 |
Loll, R., “Independent Loop Invariants for 2+1 Gravity”,
Class. Quantum Grav.,
12, 1655-1662, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
179 |
Loll, R., “Discrete Approaches to Quantum Gravity in Four
Dimensions”,
Living Rev.
Relativity,
1, (1998). URL (cited on 5 January 2005):
http://www.livingreviews.org/lrr-1998-13 . |
![]() |
180 |
Loll, R., “Discrete Lorentzian quantum gravity”,
Nucl. Phys. B (Proc. Suppl.),
94, 96-107, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
181 |
Louko, J., “Witten’s 2+1 gravity on R x (Klein bottle)”,
Class. Quantum Grav.,
12, 2441-2468, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
182 |
Louko, J., and Marolf, D., “Solution space of 2+1 gravity
on
R
×
T
2
in Witten’s connection formulation”,
Class. Quantum Grav.,
11, 311-330, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
183 |
Louko, J., and Matschull, H.-J., “The 2+1 Kepler Problem
and Its Quantization”,
Class.
Quantum Grav.,
18, 2731-2784, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
184 | Maass, H., Lectures on Modular Functions of One Complex Variable, vol. 29 of Lectures on Mathematics and Physics. Mathematics, (Tata Institute of Fundamental Research, Bombay, India, 1964). |
![]() |
185 |
Magueijo, J., and Smolin, L., “Lorentz invariance with an
invariant energy scale”,
Phys. Rev.
Lett.,
88, 190403, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
186 | Mäkelä, J., “Simplicial Wheeler-DeWitt equation in 2+1 spacetime dimensions”, Phys. Rev. D, 48, 1679-1686, (1993). |
![]() |
187 |
Maldacena, J.M., and Ooguri, H., “Strings in
AdS
3
and the SL(2,R) WZW model. I: The spectrum”,
J. Math. Phys.,
42, 2929-2960, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
188 |
Maldacena, J.M., and Ooguri, H., “Strings in
AdS
3
and the SL(2,R) WZW model. II: Euclidean black hole”,
J. Math. Phys.,
42, 2961-2977, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
189 |
Maldacena, J.M., and Ooguri, H., “Strings in
AdS
3
and the SL(2,R) WZW model. III. Correlation functions”,
Phys. Rev. D,
65, 106006-1-43, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
190 | Mandelstam, S., “Feynman Rules for Electromagnetic and Yang-Mills Fields from the Gauge-Independent Field-Theoretic Formalism”, Phys. Rev., 175, 1580-1603, (1968). |
![]() |
191 |
Manuel García-Islas, J., “(2 + 1)-dimensional quantum
gravity, spin networks and asymptotics”,
Class. Quantum Grav.,
21, 445-464, (2004). Related online version (cited on 5
January 2005):
![]() |
![]() |
192 |
Marolf, D., “Loop representations for 2+1 gravity on a
torus”,
Class. Quantum Grav.,
10, 2625-2647, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
193 | Martinec, E.J., “Soluble systems in quantum gravity”, Phys. Rev. D, 30, 1198-1204, (1984). |
![]() |
194 |
Matschull, H.-J., “On the relation between 2+1 Einstein
gravity and Chern Simons theory”,
Class. Quantum Grav.,
16, 2599-2609, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
195 |
Matschull, H.-J., “The Phase Space Structure of Multi
Particle Models in 2+1 Gravity”,
Class.
Quantum Grav.,
18, 3497-3560, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
196 |
Matschull, H.-J., and Nicolai, H., “Canonical quantum
supergravity in three dimensions”,
Nucl.
Phys. B,
411, 609-649, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
197 |
Matschull, H.-J., and Welling, M., “Quantum Mechanics of
a Point Particle in 2+1 Dimensional Gravity”,
Class. Quantum Grav.,
15, 2981-3030, (1998). Related online version (cited on 5
January 2005):
![]() |
![]() |
198 | Mazur, P.O., and Mottola, E., “The path integral measure, conformal factor problem and stability of the ground state of quantum gravity”, Nucl. Phys. B, 341, 187-212, (1990). |
![]() |
199 |
Menotti, P., and Seminara, D., “ADM Approach to 2+1
Dimensional Gravity Coupled to Particles”,
Ann. Phys. (N.Y.),
279, 282-310, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
200 | Mess, G., “Lorentz Spacetimes of Constant Curvature”, unknown status, (1990). Institut des Hautes Etudes Scientifiques preprint IHES/M/90/28. |
![]() |
201 |
Meusburger, C., and Schroers, B.J., “Poisson structure
and symmetry in the Chern-Simons formulation of
(2+1)-dimensional gravity”,
Class. Quantum Grav.,
20, 2193-2234, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
202 |
Minassian, E.A., “Spacetime Singularities in
(2+1)-Dimensional Quantum Gravity”,
Class.
Quantum Grav.,
19, 5877-5901, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
203 | Mizoguchi, S., and Tada, T., “3-dimensional Gravity and the Turaev-Viro Invariant”, Prog. Theor. Phys. Suppl., 110, 207, (1992). |
![]() |
204 |
Mizoguchi, S., and Tada, T., “3-dimensional Gravity from
the Turaev-Viro Invariant”,
Phys.
Rev. Lett.,
68, 1795-1798, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
205 |
Mizoguchi, S., and Yamamoto, H., “On the stability of
renormalizable expansions in three-dimensional gravity”,
Phys. Rev. D,
50, 7351-7362, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
206 | Moncrief, V., “Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space”, J. Math. Phys., 30, 2907-2914, (1989). |
![]() |
207 | Moncrief, V., “How solvable is (2+1)-dimensional Einstein gravity?”, J. Math. Phys., 31, 2978-2982, (1990). |
![]() |
208 |
Nelson, J.E., and Picken, R.F., “Quantum Holonomies in
(2+1)-Dimensional Gravity”,
Phys.
Lett. B,
471, 367-372, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
209 |
Nelson, J.E., and Picken, R.F., “Parametrization of the
moduli space of flat SL(2,R) connections on the torus”,
Lett. Math. Phys.,
59, 215-226, (2002). Related online version (cited on 5
January 2005):
![]() |
![]() |
210 | Nelson, J.E., and Regge, T., “Homotopy groups and 2+1 dimensional quantum gravity”, Nucl. Phys. B, 328, 190-202, (1989). |
![]() |
211 | Nelson, J.E., and Regge, T., “Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity”, Nucl. Phys. B, 339, 516-532, (1990). |
![]() |
212 | Nelson, J.E., and Regge, T., “(2+1) gravity for genus ¿ 1”, Commun. Math. Phys., 141, 211-223, (1991). |
![]() |
213 | Nelson, J.E., and Regge, T., “2+1 quantum gravity”, Phys. Lett. B, 272, 213-216, (1991). |
![]() |
214 |
Nelson, J.E., and Regge, T., “Quantisation of 2+1 gravity
for genus 2”,
Phys. Rev. D,
50, 5125-5129, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
215 |
Noui, K., and Perez, A., “Three dimensional loop quantum
gravity: coupling to point particles”, (2004). URL (cited
on 5 January 2005):
![]() |
![]() |
216 |
Noui, K., and Perez, A., “Three dimensional loop quantum
gravity: physical scalar product and spin foam models”,
(2004). URL (cited on 5 January 2005):
![]() |
![]() |
217 | Okamura, T., and Ishihara, H., “Perturbation of higher-genus spatial surfaces in (2 + 1)-dimensional gravity”, Phys. Rev. D, 46, 572-577, (1992). |
![]() |
218 | Okamura, T., and Ishihara, H., “Perturbation of higher-genus surfaces in (2+1)-dimensional gravity with a cosmological constant”, Phys. Rev. D, 47, 1706-1708, (1993). |
![]() |
219 |
Ooguri, H., “Partition Functions and Topology-Changing
Amplitudes in the 3D Lattice Gravity of Ponzano and
Regge”,
Nucl. Phys. B,
382, 276-304, (1992). Related online version (cited on 5
January 2005):
![]() |
![]() |
220 |
Ooguri, H., and Sasakura, N., “Discrete and Continuum
Approaches to Three-Dimensional Quantum Gravity”,
Mod. Phys. Lett. A,
6, 3591-3600, (1991). Related online version (cited on 5
January 2005):
![]() |
![]() |
221 |
Peldán, P., “Large Diffeomorphisms in (2+1)-Quantum
Gravity on the Torus”,
Phys. Rev. D,
53, 3147-3155, (1996). Related online version (cited on 5
January 2005):
![]() |
![]() |
222 |
Perez, A., “Spin foam models for quantum gravity”,
Class. Quantum Grav.,
20, R43-R104, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
223 |
Petryk, R., and Schleich, K., “Conditional probabilities
in Ponzano-Regge minisuperspace”,
Phys. Rev. D,
67, 024019-1-13, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
224 |
Pierri, M., “Probing Quantum General Relativity Through
Exactly Soluble Midi-Superspaces II: Polarized Gowdy
Models”,
Int. J. Mod. Phys. D,
11, 135, (2002). Related online version (cited on 5 January
2005):
![]() |
![]() |
225 | Ponzano, G., and Regge, T., in Bloch, F. et al., ed., Spectroscopic and group theoretical methods in physics: Racah memorial volume, (North-Holland, Amsterdam, Netherlands, 1968). |
![]() |
226 |
Puzio, R.S., “The Gauss map and 2 + 1 gravity”,
Class. Quantum Grav.,
11, 2667-2675, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
227 | Puzio, R.S., “On the square root of the Laplace-Beltrami operator as a Hamiltonian”, Class. Quantum Grav., 11, 609-620, (1994). |
![]() |
228 | Rama, S.K., and Sen, S., “3-D manifolds, graph invariants, and Chern-Simons theory”, Mod. Phys. Lett. A, 7, 2065-2076, (1992). |
![]() |
229 |
Ratcliffe, J.G., and Tschantz, S.T., “On the Growth of
the Number of Hyperbolic Gravitational Instantons with
Respect to Volume”,
Class. Quantum Grav.,
17, 2999-3007, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
230 | Ray, D.B., and Singer, I.M., “ R -torsion and the Laplacian on Riemannian manifolds”, Adv. Math., 7, 145-210, (1971). |
![]() |
231 | Regge, T., “General relativity without coordinates”, Nuovo Cimento, 19, 558-571, (1961). |
![]() |
232 |
Regge, T., and Williams, R.M., “Discrete structures in
gravity”,
J. Math. Phys.,
41, 3964-3984, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
233 | Roberts, J., “Skein theory and Turaev-Viro invariants”, Topology, 34, 771-788, (1995). |
![]() |
234 |
Roberts, J.D., “Classical 6j-symbols and the
tetrahedron”,
Geom. Topol.,
3, 21-66, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
235 | Roček, M., and Williams, R.M., “Three-dimensional Einstein gravity and Regge calculus”, Class. Quantum Grav., 2, 701-706, (1985). |
![]() |
236 | Rovelli, C., “Quantum mechanics without time: A model”, Phys. Rev. D, 42, 2638-2646, (1990). |
![]() |
237 | Rovelli, C., “Time in quantum gravity: An hypothesis”, Phys. Rev. D, 43, 442-456, (1991). |
![]() |
238 |
Rovelli, C., “The basis of the
Ponzano-Regge-Turaev-Viro-Ooguri model is the loop
representation basis”,
Phys. Rev. D,
48, 2702-2707, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
239 |
Rovelli, C., “Loop Quantum Gravity”,
Living Rev. Relativity,
1, (1998). URL (cited on 5 January 2005):
http://www.livingreviews.org/lrr-1998-1 . |
![]() |
240 |
Rovelli, C., “Notes for a brief history of quantum
gravity”, (2000). URL (cited on 5 January 2005):
![]() |
![]() |
241 |
Rovelli, C., Colosi, D., Doplicher, L., Fairbairn, W.,
Modesto, L., and Noui, K., “Background independence in a
nutshell”, (2004). URL (cited on 5 January 2005):
![]() |
![]() |
242 | Sasakura, N., “Exact three-dimensional lattice gravities”, Prog. Theor. Phys. Suppl., 110, 191-206, (1992). |
![]() |
243 | Schwarz, A.S., “The partition function of degenerate quadratic functional and Ray-Singer invariants”, Lett. Math. Phys., 2, 247-252, (1978). |
![]() |
244 | Schwarz, A.S., “The partition function of a degenerate functional”, Commun. Math. Phys., 67, 1-16, (1979). |
![]() |
245 |
Seriu, M., “Partition Function for (2+1)-Dimensional
Einstein Gravity”,
Phys. Rev. D,
55, 781-790, (1997). Related online version (cited on 5
January 2005):
![]() |
![]() |
246 | Staruszkiewicz, A., “Gravitation theory in three-dimensional space”, Acta Phys. Pol., 6, 734, (1963). |
![]() |
247 |
Strominger, A., “Black Hole Entropy from Near-Horizon
Microstates”,
J. High Energy Phys.,
02, 009, (1998). Related online version (cited on 5 January
2005):
![]() |
![]() |
248 | Sullivan, D., and Thurston, W.P., “Manifolds with canonical coordinate charts: Some examples”, Enseign. Math., 29, 15-25, (1983). |
![]() |
249 | ’t Hooft, G., “Non-perturbative 2 particle scattering amplitudes in 2+1 dimensional quantum gravity”, Commun. Math. Phys., 117, 685-700, (1988). |
![]() |
250 | ’t Hooft, G., “Causality in (2+1)-dimensional gravity”, Class. Quantum Grav., 9, 1335-1348, (1992). |
![]() |
251 |
’t Hooft, G., “Canonical Quantization of Gravitating
Point Particles in 2+1 Dimensions”,
Class. Quantum Grav.,
10, 1653-1664, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
252 | ’t Hooft, G., “Classical N-particle cosmology in 2+1 dimensions”, Class. Quantum Grav., 10, S79-S91, (1993). |
![]() |
253 | ’t Hooft, G., “The evolution of gravitating point particles in 2+1 dimensions”, Class. Quantum Grav., 10, 1023-1038, (1993). |
![]() |
254 |
’t Hooft, G., “Quantization of Point Particles in
2+1 Dimensional Gravity and Space-Time Discreteness”,
Class. Quantum Grav.,
13, 1023-1040, (1996). Related online version (cited on 5
January 2005):
![]() |
![]() |
255 |
Taylor, Y.U., and Woodward, C.T., “6
j
symbols for
U
q
(sl
2
) and non-Euclidean tetrahedra”, (2003). URL (cited on 5
January 2005):
![]() |
![]() |
256 |
Thurston, W.P.,
The Geometry and Topology of
Three-Manifolds, Princeton Lecture Notes, (Princeton University Press,
Princeton, U.S.A., 1979). Related online version (cited
on 5 January 2005):
![]() |
![]() |
257 |
Torre, C.G., “Gravitational observables and local
symmetries”,
Phys. Rev. D,
48, 2373-2376, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
258 |
Torre, C.G., and Varadarajan, M., “Functional evolution
of free quantum fields”,
Class.
Quantum Grav.,
16, 2651-2668, (1999). Related online version (cited on 5
January 2005):
![]() |
![]() |
259 |
Troost, J., and Tsuchiya, A., “Towards black hole
scattering”,
Phys. Lett. B,
574, 301-308, (2003). Related online version (cited on 5
January 2005):
![]() |
![]() |
260 | Turaev, V.G., “Quantum invariants of 3-manifolds and a glimpse of shadow topology”, C. R. Acad. Sci. Ser. I, 313, 395-398, (1991). |
![]() |
261 | Turaev, V.G., Quantum Invariants of Knots and 3-Manifolds, vol. 18 of De Gruyter Studies in Mathematics, (Walter de Gruyter, Berlin, Germany; New York, U.S.A., 1994). |
![]() |
262 | Turaev, V.G., and Viro, O.Y., “State Sum Invariants of 3-Manifolds and Quantum 6 j -Symbols”, Topology, 31, 865-902, (1992). |
![]() |
263 |
Unruh, W.G., and Newbury, P., “Solution to 2+1 gravity in
dreibein formalism”,
Int. J. Mod.
Phys. D,
3, 131-138, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
264 |
Valtancoli, P., “(2+1)-AdS Gravity on Riemann Surfaces”,
Int. J. Mod. Phys. A,
16, 2817-2839, (2001). Related online version (cited on 5
January 2005):
![]() |
![]() |
265 |
Varadarajan, M., “On the metric operator for quantum
cylindrical waves”,
Class. Quantum
Grav.,
17, 189-199, (2000). Related online version (cited on 5
January 2005):
![]() |
![]() |
266 | Waelbroeck, H., “2+1 lattice gravity”, Class. Quantum Grav., 7, 751, (1990). |
![]() |
267 | Waelbroeck, H., “Time-dependent solutions of 2+1 gravity”, Phys. Rev. Lett., 64, 2222-2225, (1990). |
![]() |
268 | Waelbroeck, H., “Solving the time-evolution problem in 2 + 1 gravity”, Nucl. Phys. B, 364, 475-494, (1991). |
![]() |
269 |
Waelbroeck, H., “Canonical quantization of
(2+1)-dimensional gravity”,
Phys. Rev. D,
50, 4982-4992, (1994). Related online version (cited on 5
January 2005):
![]() |
![]() |
270 | Waelbroeck, H., and Zapata, J.A., “Translation symmetry in 2+1 Regge calculus”, Class. Quantum Grav., 10, 1923-1932, (1993). |
![]() |
271 |
Waelbroeck, H., and Zapata, J.A., “(2 + 1) covariant
lattice theory and ’t Hooft’s formulation”,
Class. Quantum Grav.,
13, 1761-1768, (1996). Related online version (cited on 5
January 2005):
![]() |
![]() |
272 |
Wald, R.M., “Black hole entropy is Noether charge”,
Phys. Rev. D,
48, R3427-R3431, (1993). Related online version (cited on 5
January 2005):
![]() |
![]() |
273 |
Waldron, A., “Milne and Torus Universes Meet”, (2004).
URL (cited on 5 January 2005):
![]() |
![]() |
274 |
Welling, M., “The Torus Universe in the Polygon Approach
to 2+1-Dimensional Gravity”,
Class. Quantum Grav.,
14, 929-943, (1997). Related online version (cited on 5
January 2005):
![]() |
![]() |
275 |
Welling, M., “Two particle Quantummechanics in 2+1
Gravity using Non Commuting”,
Class.
Quantum Grav.,
14, 3313-3326, (1997). Related online version (cited on 5
January 2005):
![]() |
![]() |
276 | Wheeler, J.A., “Superspace and the nature of quantum geometrodynamics”, in DeWitt, C., and Wheeler, J.A., eds., Battelle Rencontres: 1967 Lectures in Mathematics and Physics, (W.A. Benjamin, New York, U.S.A., 1968). |
![]() |
277 | Witten, E., “2 + 1 dimensional gravity as an exactly soluble system”, Nucl. Phys. B, 311, 46-78, (1988). |
![]() |
278 | Witten, E., “Quantum field theory and the Jones polynomial”, Commun. Math. Phys., 121, 351-399, (1989). |
![]() |
279 | Witten, E., “Topology-changing amplitudes in 2 + 1 dimensional gravity”, Nucl. Phys. B, 323, 113-140, (1989). |
![]() |
280 | Witten, E., “Quantization of Chern-Simons gauge theory with complex gauge group”, Commun. Math. Phys., 137, 29-66, (1991). |
![]() |
281 |
Witten, E., “Is Supersymmetry Really Broken?”,
Int. J. Mod. Phys. A,
10, 1247-1248, (1995). Related online version (cited on 5
January 2005):
![]() |
![]() |
282 | Woodard, R.P., “Enforcing the Wheeler-DeWitt constraint the easy way”, Class. Quantum Grav., 10, 483-496, (1993). |
![]() |
283 | Wu, S., “Topological quantum field theories on manifolds with a boundary”, Commun. Math. Phys., 136, 157-168, (1991). |
![]() |
284 | York Jr, J.W., “Role of Conformal Three-Geometry in the Dynamics of Gravitation”, Phys. Rev. Lett., 28, 1082-1085, (1972). |
![]() |
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