%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @article {KT21, AUTHOR = {Konvalinka, Matja\v{z} and Tewari, Vasu}, TITLE = {Some natural extensions of the parking space}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {180}, YEAR = {2021}, PAGES = {Paper No. 105394, 19}, ISSN = {0097-3165}, MRCLASS = {05E05 (20C30)}, MRNUMBER = {4199384}, MRREVIEWER = {Tanja Stojadinovi\'{c}}, DOI = {10.1016/j.jcta.2020.105394}, URL = {https://doi.org/10.1016/j.jcta.2020.105394}, } @article {HRS18, AUTHOR = {Haglund, James and Rhoades, Brendon and Shimozono, Mark}, TITLE = {Ordered set partitions, generalized coinvariant algebras, and the delta conjecture}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {329}, YEAR = {2018}, PAGES = {851--915}, ISSN = {0001-8708}, MRCLASS = {05A18 (05E05 05E10)}, MRNUMBER = {3783430}, MRREVIEWER = {Damir Yeliussizov}, DOI = {10.1016/j.aim.2018.01.028}, URL = {https://doi.org/10.1016/j.aim.2018.01.028}, } @article {GP92, AUTHOR = {Garsia, A. M. and Procesi, C.}, TITLE = {On certain graded {$S_n$}-modules and the {$q$}-{K}ostka polynomials}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {94}, YEAR = {1992}, NUMBER = {1}, PAGES = {82--138}, ISSN = {0001-8708}, MRCLASS = {20C30 (05E10 05E35)}, MRNUMBER = {1168926}, MRREVIEWER = {Leonid Krop}, DOI = {10.1016/0001-8708(92)90034-I}, URL = {https://doi.org/10.1016/0001-8708(92)90034-I}, } @article{Kostant, AUTHOR = {Kostant, Bertrand}, TITLE = {Lie group representations on polynomial rings}, JOURNAL = {Bull. Amer. Math. Soc.}, FJOURNAL = {Bulletin of the American Mathematical Society}, VOLUME = {69}, NUMBER = {4}, YEAR = {1963}, PAGES = {518--526}} @misc{RRT22, doi = {10.48550/ARXIV.2207.11861}, url = {https://arxiv.org/abs/2207.11861}, author = {Reineke, Markus and Rhoades, Brendon and Tewari, Vasu}, keywords = {Combinatorics (math.CO), Algebraic Geometry (math.AG), Representation Theory (math.RT), FOS: Mathematics, FOS: Mathematics}, title = {Zonotopal algebras, orbit harmonics, and Donald\-son-Thomas invariants of symmetric quivers}, publisher = {arXiv}, year = {2022}, copyright = {arXiv.org perpetual, non-exclusive license} } @article {KS, AUTHOR = {Kontsevich, Maxim and Soibelman, Yan}, TITLE = {Cohomological {H}all algebra, exponential {H}odge structures and motivic {D}onaldson-{T}homas invariants}, JOURNAL = {Commun. Number Theory Phys.}, FJOURNAL = {Communications in Number Theory and Physics}, VOLUME = {5}, YEAR = {2011}, NUMBER = {2}, PAGES = {231--352}, ISSN = {1931-4523}, MRCLASS = {14N35 (14F43 16G20)}, MRNUMBER = {2851153}, MRREVIEWER = {Mark Gross}, DOI = {10.4310/CNTP.2011.v5.n2.a1}, URL = {https://doi.org/10.4310/CNTP.2011.v5.n2.a1}, } @book {DCP, AUTHOR = {De Concini, Corrado and Procesi, Claudio}, TITLE = {Topics in hyperplane arrangements, polytopes and box-splines}, SERIES = {Universitext}, PUBLISHER = {Springer, New York}, YEAR = {2011}, PAGES = {xx+384}, ISBN = {978-0-387-78962-0}, MRCLASS = {52C35 (05B35 11P21 32S22 41A15 52-01 65D07)}, MRNUMBER = {2722776}, MRREVIEWER = {Alexander I. Suciu}, } @article {BR14, AUTHOR = {Berget, Andrew and Rhoades, Brendon}, TITLE = {Extending the parking space}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {123}, YEAR = {2014}, PAGES = {43--56}, DOI = {10.1016/j.jcta.2013.11.004}, URL = {https://doi.org/10.1016/j.jcta.2013.11.004}, } @article {Efi, AUTHOR = {Efimov, Alexander I.}, TITLE = {Cohomological {H}all algebra of a symmetric quiver}, JOURNAL = {Compos. Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {148}, YEAR = {2012}, NUMBER = {4}, PAGES = {1133--1146}, ISSN = {0010-437X}, MRCLASS = {14N35 (14F25 16G20)}, MRNUMBER = {2956038}, DOI = {10.1112/S0010437X12000152}, URL = {https://doi.org/10.1112/S0010437X12000152}, } @misc{KRT21, doi = {10.48550/ARXIV.2111.07071}, url = {https://arxiv.org/abs/2111.07071}, author = {Konvalinka, Matjaž and Reineke, Markus and Tewari, Vasu}, keywords = {Combinatorics (math.CO), Representation Theory (math.RT), FOS: Mathematics, FOS: Mathematics}, title = {{D}ivisors on complete multigraphs and {D}onald\-son-{T}homas invariants of loop quivers}, publisher = {arXiv}, year = {2021}, copyright = {arXiv.org perpetual, non-exclusive license} } @misc{DM21, doi = {10.48550/ARXIV.2108.10338}, url = {https://arxiv.org/abs/2108.10338}, author = {Dotsenko, Vladimir and Mozgovoy, Sergey}, title = {D{T} invariants from vertex algebras}, publisher = {arXiv}, year = {2021}, copyright = {Creative Commons Attribution 4.0 International} } @article {DFR, AUTHOR = {Dotsenko, Vladimir and Feigin, Evgeny and Reineke, Markus}, TITLE = {Koszul algebras and {D}onaldson--{T}homas invariants}, JOURNAL = {Lett. Math. Phys.}, FJOURNAL = {Letters in Mathematical Physics}, VOLUME = {112}, YEAR = {2022}, NUMBER = {5}, PAGES = {Paper No. 106}, ISSN = {0377-9017}, MRCLASS = {16 (14)}, MRNUMBER = {4499100}, DOI = {10.1007/s11005-022-01604-4}, URL = {https://doi-org.eres.library.manoa.hawaii.edu/10.1007/s11005-022-01604-4}, } @article {HLRV, AUTHOR = {Hausel, Tam\'{a}s and Letellier, Emmanuel and Rodriguez-Villegas, Fernando}, TITLE = {Positivity for {K}ac polynomials and {DT}-invariants of quivers}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {177}, YEAR = {2013}, NUMBER = {3}, PAGES = {1147--1168}, ISSN = {0003-486X}, MRCLASS = {16G20 (05Exx)}, MRNUMBER = {3034296}, MRREVIEWER = {Kyungyong Lee}, DOI = {10.4007/annals.2013.177.3.8}, URL = {https://doi.org/10.4007/annals.2013.177.3.8}, } @article {HR11, AUTHOR = {Holtz, Olga and Ron, Amos}, TITLE = {Zonotopal algebra}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {227}, YEAR = {2011}, NUMBER = {2}, PAGES = {847--894}, ISSN = {0001-8708}, MRCLASS = {52C35 (05E15 13F20 52B20)}, MRNUMBER = {2793025}, MRREVIEWER = {Margaret M. Bayer}, DOI = {10.1016/j.aim.2011.02.012}, URL = {https://doi.org/10.1016/j.aim.2011.02.012}, } @article {Pos04, AUTHOR = {Postnikov, A. and Shapiro, B.}, TITLE = {Trees, parking functions, syzygies, and deformations of monomial ideals}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {356}, YEAR = {2004}, NUMBER = {8}, PAGES = {3109--3142}, } @article {AP10, AUTHOR = {Ardila, Federico and Postnikov, Alexander}, TITLE = {Combinatorics and geometry of power ideals}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {362}, YEAR = {2010}, NUMBER = {8}, PAGES = {4357--4384}, ISSN = {0002-9947}, MRCLASS = {05E40 (05B35 13F20 41A15 52C35)}, MRNUMBER = {2608410}, MRREVIEWER = {Julianna Tymoczko}, DOI = {10.1090/S0002-9947-10-05018-X}, URL = {https://doi.org/10.1090/S0002-9947-10-05018-X}, } @article {BN, AUTHOR = {Baker, Matthew and Norine, Serguei}, TITLE = {Riemann-{R}och and {A}bel-{J}acobi theory on a finite graph}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {215}, YEAR = {2007}, NUMBER = {2}, PAGES = {766--788}, ISSN = {0001-8708}, MRCLASS = {05C50 (05C25 05C38 14H99)}, MRNUMBER = {2355607}, MRREVIEWER = {Tatiana Smirnova-Nagnibeda}, DOI = {10.1016/j.aim.2007.04.012}, URL = {https://doi.org/10.1016/j.aim.2007.04.012}, } @incollection {MZ08, AUTHOR = {Mikhalkin, Grigory and Zharkov, Ilia}, TITLE = {Tropical curves, their {J}acobians and theta functions}, BOOKTITLE = {Curves and abelian varieties}, SERIES = {Contemp. Math.}, VOLUME = {465}, PAGES = {203--230}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2008}, MRCLASS = {14T05 (05C38 14H40 14H42)}, MRNUMBER = {2457739}, DOI = {10.1090/conm/465/09104}, URL = {https://doi.org/10.1090/conm/465/09104}, } @article {ABKS14, AUTHOR = {An, Yang and Baker, Matthew and Kuperberg, Greg and Shokrieh, Farbod}, TITLE = {Canonical representatives for divisor classes on tropical curves and the matrix-tree theorem}, JOURNAL = {Forum Math. Sigma}, FJOURNAL = {Forum of Mathematics. Sigma}, VOLUME = {2}, YEAR = {2014}, PAGES = {e24, 25 pages}, MRCLASS = {14T05 (05A19 05C25 05E45 14C20)}, MRNUMBER = {3264262}, MRREVIEWER = {Luis Felipe Tabera}, DOI = {10.1017/fms.2014.25}, URL = {https://doi.org/10.1017/fms.2014.25}, } @article{greenwade93, Author = {George D. Greenwade}, Date-Modified = {2016-08-11 21:04:25 +0000}, Journal = {TUGBoat}, Number = {3}, Pages = {342--351}, Title = {The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})}, Url = {https://www.google.com}, Volume = {14}, Year = {1993}, Bdsk-Url-1 = {https://www.google.com}} @article{MR4, AUTHOR = {Corliss, J. J.}, TITLE = {Upper limits to the real roots of a real algebraic equation}, JOURNAL = {Amer. Math. Monthly}, FJOURNAL = {The American Mathematical Monthly}, VOLUME = {46}, YEAR = {1939}, PAGES = {334--338}, ISSN = {0002-9890}, MRCLASS = {09.0X}, MRNUMBER = {0000004}, MRREVIEWER = {O. Sz\'asz}, DOI = {10.2307/2302887}}