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@misc{L-FV,
	Author = {Labardini-Fragoso, Daniel and Velasco, Diego},
	Date-Added = {2018-11-15 12:55:51 -0600},
	Date-Modified = {2019-05-27 22:35:41 +1000},
	Eprint = {1704.07921},
	Eprinttype = {arxiv},
	Title = {On a family of Caldero-Chapoton algebras that have the Laurent Phenomenon},
	Year = {2017}}

@book{FT-II,
	Author = {Fomin, Sergey and Thurston, Dylan},
	Date-Added = {2018-11-15 12:24:27 -0600},
	Date-Modified = {2019-05-27 22:31:25 +1000},
	Doi = {10.1090/memo/1223},
	Number = {1223},
	Publisher = {Amer. Math. Soc., Providence, RI},
	Series = {Mem. Amer. Math. Soc},
	Title = {Cluster algebras and triangulated surfaces. II: Lambda lengths},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1090/memo/1223}}

@misc{GMV,
	Author = {Musiker, Gregg and Gunawan, Emily and Vogel, Hannah},
	Date-Added = {2018-11-14 14:30:42 -0600},
	Date-Modified = {2019-05-27 22:37:07 +1000},
	Eprint = {1611.03052},
	Eprinttype = {arxiv},
	Title = {Cluster algebraic interpretation of infinite friezes},
	Year = {2016}}

@article{BFPT,
	Author = {Baur, Karin and Fellner, Klemens and Parsons, Mark James and Tschabold, Manuela},
	Date-Added = {2018-11-14 14:27:06 -0600},
	Date-Modified = {2019-05-27 22:17:32 +1000},
	Doi = {10.4171/rmi/1063},
	Journal = {Revista Matematica Iberoamericana},
	Number = {2},
	Pages = {575--606},
	Title = {Growth behaviour of periodic tame friezes},
	Volume = {35},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.4171/rmi/1063}}

@article{HJ,
	Author = {Holm, Thorsten and Jorgensen, Peter},
	Date-Added = {2018-11-14 14:24:03 -0600},
	Date-Modified = {2019-05-27 22:34:36 +1000},
	Doi = {10.1093/imrn/rny020},
	Journal = {Int. Math. Res. Not.},
	Pages = {rny020},
	Title = {A $p$-angulated generalisation of Conway and Coxeter's theorem on frieze patterns},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rny020}}

@url{FWZ-textbook-2,
	Author = {Williams, Lauren and Fomin, Sergey and Zelevinsky, Andrei},
	Date-Added = {2018-08-16 15:57:36 -0500},
	Date-Modified = {2018-08-16 15:59:55 -0500},
	Title = {Introduction to cluster algebras: chapters 4-5},
	Url = {arXiv:1707.07190},
	Year = {2017},
	Bdsk-Url-1 = {arXiv:1707.07190}}

@misc{Gleitz-Musiker,
	Author = {Gleitz, Anne-Sophie and Musiker, Gregg},
	Date-Added = {2018-08-16 12:50:05 -0500},
	Date-Modified = {2018-08-16 12:52:32 -0500},
	Howpublished = {Private communication}}

@article{GHKK,
	Author = {Gross, Mark and Hacking, Paul and Keel, Sean and Kontsevich, Maxim},
	Date-Added = {2018-08-16 12:46:39 -0500},
	Date-Modified = {2018-08-16 12:49:56 -0500},
	Journal = {Journal of the American Mathematical Society},
	Pages = {497-608},
	Title = {Canonical bases for cluster algebras},
	Volume = {31},
	Year = {2018}}

@article{Wilson-1,
	Author = {Wilson, Jon},
	Date-Added = {2018-08-13 10:49:07 -0500},
	Date-Modified = {2018-08-13 10:50:51 -0500},
	Journal = {International Mathematics Research Notices},
	Number = {12},
	Pages = {3800-3833},
	Title = {Laurent phenomenon algebras arising from surfaces},
	Volume = {2018},
	Year = {2018}}

@article{Lam-Pylyavskyy-2,
	Author = {Lam, Thomas and Pylyavskyy, Pavlo},
	Date-Added = {2018-08-12 20:40:35 -0500},
	Date-Modified = {2018-08-12 20:41:29 -0500},
	Journal = {International Mathematics Research Notices},
	Number = {10},
	Pages = {3163-3203},
	Title = {Linear Laurent Phenomenon Algebras},
	Volume = {2016},
	Year = {2016}}

@article{Schiffler_An,
	Author = {Schiffler, Ralf},
	Date-Added = {2018-08-12 14:30:48 -0500},
	Date-Modified = {2018-08-12 14:31:28 -0500},
	Journal = {Electronic Journal of Combinatorics},
	Title = {A Cluster Expansion Formula ($A_n$ case)},
	Volume = {15},
	Year = {2008}}

@article{Lee,
	Author = {Lee, Kyungyong},
	Date-Added = {2018-08-12 14:16:44 -0500},
	Date-Modified = {2018-08-12 14:17:42 -0500},
	Journal = {arXiv 1311.0711},
	Title = {Every finite acyclic quiver is a full subquiver of a quiver mutation equivalent to a bipartite quiver},
	Year = {2013}}

@article{DMSS,
	Author = {Davison, Ben and Maulik, Davesh and Sch\"{u}rmann, J\"{o}rg and Szendro\~{o}i, Bal\'{a}zs},
	Date-Added = {2018-08-12 13:57:55 -0500},
	Date-Modified = {2018-08-12 14:01:16 -0500},
	Journal = {Compositio Mathematica},
	Number = {10},
	Pages = {1913-1944},
	Title = {Purity for graded potentials and quantum cluster positivity},
	Volume = {151},
	Year = {2015}}

@article{Berenstein-Zelevinsky,
	Author = {Berenstein, Arkady and Zelevinsky, Andrei},
	Date-Added = {2018-08-12 13:45:19 -0500},
	Date-Modified = {2018-08-12 13:46:24 -0500},
	Journal = {Advances in Mathematics},
	Number = {2},
	Pages = {405-455},
	Title = {Quantum cluster algebras},
	Volume = {195},
	Year = {2005}}

@article{Hernandez-Leclerc,
	Author = {Hernandez, David and Leclerc, Bernard},
	Date-Added = {2018-08-12 13:36:45 -0500},
	Date-Modified = {2018-08-12 13:37:37 -0500},
	Journal = {Duke Mathematical Journal},
	Number = {2},
	Pages = {265-341},
	Title = {Cluster algebras and quantum affine algebras},
	Volume = {154},
	Year = {2010}}

@book{Lusztig,
	Author = {Lusztig, George},
	Date-Added = {2018-07-28 17:03:16 -0400},
	Date-Modified = {2018-07-28 17:03:59 -0400},
	Publisher = {Springer},
	Title = {Introduction to Quantum Groups},
	Year = {1993}}

@article{Felikson-Shapiro-Tumarkin,
	Author = {Felikson, Anna and Shapiro, Michael and Tumarkin, Pavel},
	Date-Added = {2018-07-22 23:33:30 +0000},
	Date-Modified = {2019-05-27 22:29:30 +1000},
	Doi = {10.1093/imrn/rnr072},
	Journal = {Int. Math. Res. Not.},
	Number = {8},
	Pages = {1768-1804},
	Title = {Cluster algebras of finite mutation type via unfoldings},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rnr072}}

@article{Chekhov-Mazzocco-Yangians,
	Author = {Chekhov, Leonid and Mazzocco, Marta},
	Date-Added = {2018-07-04 20:00:26 +0000},
	Date-Modified = {2019-05-27 22:18:32 +1000},
	Doi = {10.1016/j.aim.2010.12.017},
	Journal = {Adv. in Math.},
	Number = {6},
	Pages = {4731-4775},
	Title = {Isomonodromic deformations and twisted Yangians arising in Teichm\"{u}ller theory},
	Volume = {266},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2010.12.017}}

@article{Wilson,
	Author = {Wilson, Jon},
	Date-Added = {2018-07-02 19:34:55 +0000},
	Date-Modified = {2018-07-02 19:37:40 +0000},
	Journal = {arXiv 1802.06962},
	Title = {Laurent phenomenon algebras arising from surfaces II: Laminated Surfaces},
	Year = {2018}}

@article{Dupont-Palesi,
	Author = {Dupont, Gr\'{e}gorie and Palesi, Fr\'{e}d\'{e}ric},
	Date-Added = {2018-07-01 15:11:15 +0000},
	Date-Modified = {2018-07-01 15:11:56 +0000},
	Journal = {Journal of Algebraic Combinatorics},
	Number = {2},
	Pages = {429-472},
	Title = {Quasi-cluster algebras from non-orientable surfaces},
	Volume = {42},
	Year = {2015}}

@article{FST-triangulatedSurfaces,
	Author = {Fomin, Sergey and Shapiro, Michael and Thurston, Dylan},
	Date-Added = {2018-06-28 16:12:55 +0000},
	Date-Modified = {2019-05-27 22:30:21 +1000},
	Doi = {10.1007/s11511-008-0030-7},
	Journal = {Acta Math.},
	Number = {1},
	Pages = {83-146},
	Title = {Cluster algebras and triangulated surfaces. I: Cluster complexes},
	Volume = {201},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11511-008-0030-7}}

@article{Fomin-Zelevinsky-LP,
	Author = {Fomin, Sergey and Zelevinsky, Andrei},
	Date-Added = {2018-06-28 14:19:56 +0000},
	Date-Modified = {2018-06-28 14:20:50 +0000},
	Journal = {Advances in Applied Mathematics},
	Pages = {119-144},
	Title = {The Laurent Phenomenon},
	Volume = {28},
	Year = {2001}}

@article{Lam-Pylyavskyy,
	Author = {Lam, Thomas and Pylyavskyy, Pavlo},
	Date-Added = {2018-06-25 20:41:40 +0000},
	Date-Modified = {2018-06-25 20:42:34 +0000},
	Journal = {Cambridge Journal of Mathematics},
	Number = {1},
	Pages = {121-162},
	Title = {Laurent phenomenon algebras},
	Volume = {4},
	Year = {2016}}

@article{Schiffler,
	Author = {Schiffler, Ralf},
	Date-Added = {2018-06-21 16:31:44 +0000},
	Date-Modified = {2018-06-21 16:32:37 +0000},
	Journal = {Advances in Mathematics},
	Number = {6},
	Pages = {1885-1923},
	Title = {On cluster algebras arising from unpunctured surfaces II},
	Volume = {223},
	Year = {2010}}

@article{Schiffler-Thomas,
	Author = {Schiffler, Ralf and Thomas, Hugh},
	Date-Added = {2018-06-21 16:29:41 +0000},
	Date-Modified = {2018-06-21 16:30:43 +0000},
	Journal = {International Mathematics Research Notices},
	Number = {17},
	Pages = {3160-3189},
	Title = {On cluster algebras arising from unpunctured surfaces},
	Year = {2009}}

@article{Qin,
	Author = {Qin, Fan},
	Date-Added = {2018-06-21 16:15:18 +0000},
	Date-Modified = {2018-06-21 16:18:41 +0000},
	Journal = {Journal f\"{u}r die reine und angewandte Mathematik},
	Pages = {149-190},
	Title = {Quantum cluster variables via Serre polynomials},
	Volume = {668},
	Year = {2011}}

@article{Efimov,
	Author = {Efimov, Alexander},
	Date-Added = {2018-06-21 16:00:05 +0000},
	Date-Modified = {2018-06-21 16:03:30 +0000},
	Journal = {arXiv: 1112.3601},
	Title = {Quantum cluster variables via vanishing cycles},
	Year = {2011}}

@article{Caldero-Reineke,
	Author = {Caldero, Philippe and Reineke, Markus},
	Date-Added = {2018-06-21 15:53:48 +0000},
	Date-Modified = {2018-06-21 15:54:41 +0000},
	Journal = {Journal of Pure and Applied Algebra},
	Number = {11},
	Pages = {2369-2380},
	Title = {On the quiver Grassmannian in the acyclic case},
	Volume = {212},
	Year = {2008}}

@article{Nakajima,
	Author = {Nakajima, Hiraku},
	Date-Added = {2018-06-21 15:46:46 +0000},
	Date-Modified = {2018-06-21 15:47:31 +0000},
	Journal = {Kyoto Journal of Mathematics},
	Number = {1},
	Pages = {71-126},
	Title = {Quiver varieties and cluster algebras},
	Volume = {51},
	Year = {2011}}

@article{Kimura-Qin,
	Author = {Kimura, Yoshiyuki and Qin, Fan},
	Date-Added = {2018-06-21 15:13:47 +0000},
	Date-Modified = {2018-06-21 16:25:05 +0000},
	Journal = {Advances in Mathematics},
	Number = {10},
	Pages = {261-312},
	Title = {Graded quiver varieties, quantum cluster algebras and dual canonical basis},
	Volume = {262},
	Year = {2014}}

@article{Lee-Schiffler,
	Author = {Lee, Kyungyong and Schiffler, Ralf},
	Date-Added = {2018-06-21 14:35:14 +0000},
	Date-Modified = {2018-06-21 14:37:09 +0000},
	Journal = {Annals of Mathematics},
	Number = {1},
	Pages = {73-125},
	Title = {Positivity for Cluster Algebras},
	Volume = {182},
	Year = {2015}}

@url{FWZ-textbook-I,
	Author = {Fomin, Sergey and Williams, Lauren and Zelevinsky, Andrei},
	Date-Added = {2018-05-29 14:45:03 +0000},
	Date-Modified = {2018-05-29 14:50:10 +0000},
	Title = {Introduction to cluster algebras: chapters 1-3},
	Url = {arXiv:1608.05735},
	Year = {2017},
	Bdsk-Url-1 = {arXiv:1608.05735}}

@article{Fomin-Zelevinsky-IV,
	Author = {Fomin, Sergey and Zelevinsky, Andrei},
	Date-Added = {2018-05-29 14:42:03 +0000},
	Date-Modified = {2018-05-29 14:42:48 +0000},
	Journal = {Compositio Mathematica},
	Number = {1},
	Pages = {112-164},
	Title = {Cluster Algebras IV: Coefficients},
	Volume = {143},
	Year = {2007}}

@article{Fomin-Zelevinsky-I,
	Author = {Fomin, Sergey and Zelevinsky, Andrei},
	Date-Added = {2018-05-29 13:49:04 +0000},
	Date-Modified = {2019-05-27 22:32:06 +1000},
	Doi = {10.1090/s0894-0347-01-00385-x},
	Journal = {J. Amer. Math. Soc.},
	Number = {2},
	Pages = {497-529},
	Title = {Cluster Algebras I: Foundations},
	Volume = {15},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1090/s0894-0347-01-00385-x}}

@article{MSW,
	Author = {Musiker, Gregg and Williams, Lauren and Schiffler, Ralf},
	Date-Added = {2018-05-27 15:49:17 +0000},
	Date-Modified = {2019-05-27 22:36:29 +1000},
	Doi = {10.1016/j.aim.2011.04.018},
	Journal = {Adv. in Math.},
	Number = {6},
	Pages = {2241-2308},
	Title = {Positivity for cluster algebras from surfaces},
	Volume = {227},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2011.04.018}}

@article{Nakanishi-Rupel,
	Author = {Nakanishi, Tomoki and Rupel, Dylan},
	Date-Added = {2018-05-27 15:44:23 +0000},
	Date-Modified = {2018-05-27 15:46:22 +0000},
	Journal = {Travaux math\'{e}matiques},
	Pages = {129-149},
	Title = {Companion Cluster Algebras to a Generalized Cluster Algebra},
	Volume = {24},
	Year = {2016}}

@article{Chekhov,
	Author = {Chekhov, Leonid},
	Date-Added = {2018-05-27 15:41:55 +0000},
	Date-Modified = {2018-05-27 15:42:42 +0000},
	Journal = {Journal of Physics A: Mathematical and Theoretical},
	Number = {30},
	Title = {Orbifold Riemann Surfaces and Geodesic Algebras},
	Volume = {42},
	Year = {2009}}

@article{Chekhov-Shapiro,
	Author = {Chekhov, Leonid and Shapiro, Michael},
	Date-Added = {2018-05-27 15:38:41 +0000},
	Date-Modified = {2019-05-27 22:19:26 +1000},
	Doi = {10.1093/imrn/rnt016},
	Journal = {Int. Math. Res. Not.},
	Number = {10},
	Pages = {2746-2772},
	Title = {Teichm\"{u}ller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rnt016}}

@article{Chekhov-Mazzocco,
	Author = {Chekhov, Leonid and Mazzocco, Marta},
	Date-Added = {2018-05-27 15:34:05 +0000},
	Date-Modified = {2018-05-27 15:38:20 +0000},
	Journal = {Nonlinearity},
	Month = {December},
	Number = {1},
	Title = {Colliding Holes in Riemann Surfaces and Quantum Cluster Algebras},
	Volume = {31},
	Year = {2017}}

@article{Nakanishi,
	Author = {Nakanishi, Tomoki},
	Date-Added = {2018-05-27 15:31:44 +0000},
	Date-Modified = {2018-05-27 15:33:06 +0000},
	Journal = {Pacific Journal of Mathematics},
	Number = {1},
	Pages = {201-218},
	Title = {Structure of Seeds in Generalized Cluster Algebras},
	Volume = {277},
	Year = {2015}}

@article{FST-orbTriang,
	Author = {Felikson, Anna and Shapiro, Michael and Tumarkin, Pavel},
	Date-Added = {2018-05-27 15:24:01 +0000},
	Date-Modified = {2019-05-27 22:20:26 +1000},
	Doi = {10.1016/j.aim.2012.07.032},
	Journal = {Adv. in Math.},
	Number = {5},
	Pages = {2953-3002},
	Title = {Cluster algebras and triangulated orbifolds},
	Volume = {231},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2012.07.032}}