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@article{ButlerRingel,
	Author = {Butler, M. C. R. and Ringel, Claus Michael},
	Date-Modified = {2019-04-29 11:39:51 +1000},
	Doi = {10.1080/00927878708823416 },
	Fjournal = {Communications in Algebra},
	Journal = {Comm. Algebra},
	Number = {1-2},
	Pages = {145--179},
	Title = {Auslander-{R}eiten sequences with few middle terms and applications to string algebras},
	Volume = {15},
	Year = {1987}}

@article{MannevillePilaud-accordion,
	Author = {Thibault Manneville and Vincent Pilaud},
	Date-Modified = {2019-04-29 11:47:29 +1000},
	Doi = {10.1007/s00454-018-0004-2 },
	Fjournal = {Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science},
	Journal = {Discrete Comput. Geom.},
	Number = {3},
	Pages = {507--540},
	Title = {Geometric realizations of the accordion complex of a dissection},
	Volume = {61},
	Year = {2019}}

@misc{PaluPilaudPlamondon,
	Author = {Yann Palu and Vincent Pilaud and Pierre-Guy Plamondon},
	Date-Modified = {2019-04-29 11:51:32 +1000},
	Eprint = {1707.07574},
	Eprinttype = {arxiv},
	Note = {In press, {\it Mem. Amer. Math. Soc.}},
	Title = {Non-kissing complexes and tau-tilting for gentle algebras},
	Year = {2017}}

@misc{PaluPilaudPlamondon-surfaces,
	Author = {Yann Palu and Vincent Pilaud and Pierre-Guy Plamondon},
	Date-Modified = {2019-04-29 11:50:19 +1000},
	Eprint = {1807.04730},
	Eprinttype = {arxiv},
	Title = {Non-kissing and non-crossing complexes for locally gentle algebras},
	Year = {2018}}

@article{GarverMcConville,
	Author = {Garver, Alexander and McConville, Thomas},
	Date-Modified = {2019-04-29 11:46:48 +1000},
	Doi = {10.1016/j.jcta.2018.03.014 },
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {126--175},
	Title = {Oriented flip graphs of polygonal subdivisions and noncrossing tree partitions},
	Volume = {158},
	Year = {2018}}

@article{McConville,
	Author = {Thomas McConville},
	Date-Modified = {2019-04-29 11:49:17 +1000},
	Doi = {10.1016/j.jcta.2016.12.001 },
	Fjournal = {Journal of Combinatorial Theory, Series A},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {27--56},
	Title = {Lattice structure of {G}rid-{T}amari orders},
	Volume = {148},
	Year = {2017}}

@misc{OpperPlamondonSchroll,
	Author = {Sebastian Opper and Pierre-Guy Plamondon and Sibylle Schroll},
	Date-Modified = {2019-04-29 11:49:38 +1000},
	Eprint = {1801.09659},
	Eprinttype = {arxiv},
	Title = {A geometric model for the derived category of gentle algebras},
	Year = {2018}}

@article{BessenrodtHolm,
	Author = {Bessenrodt, Christine and Holm, Thorsten},
	Date-Modified = {2019-04-29 11:38:34 +1000},
	Doi = {10.1016/j.jpaa.2007.05.004 },
	Fjournal = {Communications in Algebra},
	Journal = {J. Pure and Appl. Algebra},
	Number = {1},
	Pages = {204--221},
	Title = {Weighted locally gentle quivers and {C}artan matrices},
	Volume = {212},
	Year = {2008}}

@article{FominShapiroThurston,
	Author = {Fomin, Sergey and Shapiro, Michael and Thurston, Dylan},
	Journal = {Acta Math.},
	Number = {1},
	Pages = {83--146},
	Title = {Cluster algebras and triangulated surfaces. {P}art {I}: {C}luster complexes},
	Volume = {201},
	Year = {2008}}

@article{FominThurston,
	Author = {Sergey Fomin and Dylan Thurston},
	Journal = {Memoirs AMS},
	Number = {1223},
	Title = {Cluster algebras and triangulated surfaces. Part {II}: {L}ambda lengths},
	Volume = {255},
	Year = {2018}}

@misc{BrustleDouvilleMousavandThomasYildirim,
	Author = {Thomas Br\"ustle and Guillaume Douville and Kaveh Mousavand and Hugh Thomas and Emine Y\i{}ld\i{}r\i{}m},
	Date-Modified = {2019-04-29 11:38:59 +1000},
	Eprint = {1707.07665},
	Eprinttype = {arxiv},
	Title = {On the combinatorics of gentle algebras},
	Year = {2017}}

@article{Crawley-Boevey,
	Author = {Crawley-Boevey, William},
	Date-Modified = {2019-04-29 11:44:28 +1000},
	Doi = {10.1090/tran/7032 },
	Fjournal = {Transactions of the American Mathematical Society},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {5},
	Pages = {3289--3313},
	Title = {Classification of modules for infinite-dimensional string algebras},
	Volume = {370},
	Year = {2018}}

@article{HaidenKatzarkovKontsevich,
	Author = {Haiden, F. and Katzarkov, L. and Kontsevich, M.},
	Fjournal = {Publications Math\'ematiques. Institut de Hautes \'Etudes Scientifiques},
	Journal = {Publ. Math. Inst. Hautes \'Etudes Sci.},
	Pages = {247--318},
	Title = {Flat surfaces and stability structures},
	Volume = {126},
	Year = {2017}}

@incollection{Baryshnikov,
	Author = {Baryshnikov, Yuliy},
	Booktitle = {New developments in singularity theory ({C}ambridge, 2000)},
	Pages = {65--86},
	Publisher = {Kluwer Acad. Publ., Dordrecht},
	Series = {NATO Sci. Ser. II Math. Phys. Chem.},
	Title = {On {S}tokes sets},
	Volume = {21},
	Year = {2001}}

@article{Chapoton-quadrangulations,
	Author = {Fr\'ed\'eric Chapoton},
	Date-Modified = {2019-04-29 11:43:31 +1000},
	Journal = {Discr.\,Math.\,Theor.\,Comput.\,Sci.},
	Number = {3},
	Title = {Stokes posets and serpent nests},
	Url = {https://hal.archives-ouvertes.fr/hal-01147113v4},
	Volume = {18},
	Year = {2016}}

@article{DavidRoeslerSchiffler,
	Author = {David-Roesler, Lucas and Schiffler, Ralf},
	Date-Modified = {2019-04-29 11:46:03 +1000},
	Doi = {10.1016/j.jalgebra.2011.10.034 },
	Fjournal = {Journal of Algebra},
	Journal = {J. Algebra},
	Number = {1},
	Pages = {218--244},
	Title = {Algebras from surfaces without punctures},
	Volume = {350},
	Year = {2012}}

@article{ABCP,
	Author = {Assem, Ibrahim and Br\"ustle, Thomas and Charbonneau-Jodoin, Gabrielle and Plamondon, Pierre-Guy},
	Date-Modified = {2019-04-29 11:37:06 +1000},
	Doi = {10.2140/ant.2010.4.201 },
	Fjournal = {Algebra \& Number Theory},
	Journal = {Algebra Number Theory},
	Number = {2},
	Pages = {201--229},
	Title = {Gentle algebras arising from surface triangulations},
	Volume = {4},
	Year = {2010}}

@article{Labardini,
	Author = {Labardini-Fragoso, Daniel},
	Fjournal = {Proceedings of the London Mathematical Society. Third Series},
	Journal = {Proc. Lond. Math. Soc. (3)},
	Number = {3},
	Pages = {797--839},
	Title = {Quivers with potentials associated to triangulated surfaces},
	Volume = {98},
	Year = {2009}}

@article{CalderoChapotonSchiffler,
	Author = {Caldero, P. and Chapoton, F. and Schiffler, R.},
	Date-Modified = {2019-04-29 11:40:42 +1000},
	Doi = {10.1090/s0002-9947-05-03753-0 },
	Fjournal = {Transactions of the American Mathematical Society},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {3},
	Pages = {1347--1364},
	Title = {Quivers with relations arising from clusters ({$A_n$} case)},
	Volume = {358},
	Year = {2006}}

@article{PilaudPlamondonStella,
	Author = {Pilaud, Vincent and Plamondon, Pierre-Guy and Stella, Salvatore},
	Fjournal = {SIGMA. Symmetry, Integrability and Geometry. Methods and Applications},
	Journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
	Pages = {Paper No. 045, 8},
	Title = {A {$\tau$}-tilting approach to dissections of polygons},
	Volume = {14},
	Year = {2018}}

@misc{BaurCoelhoSimoes,
	Author = {Baur, Karin and Coelho Sim\~oes, Raquel},
	Date-Modified = {2019-04-29 11:37:39 +1000},
	Eprint = {1803.05802},
	Eprinttype = {arxiv},
	Title = {A geometric model for the module category of a gentle algebra},
	Year = {2018}}

@article{AdachiIyamaReiten,
	Author = {Adachi, Takahide and Iyama, Osamu and Reiten, Idun},
	Date-Modified = {2019-04-29 11:36:26 +1000},
	Doi = {10.1112/s0010437x13007422 },
	Fjournal = {Compositio Mathematica},
	Journal = {Compos. Math.},
	Number = {3},
	Pages = {415--452},
	Title = {{$\tau$}-tilting theory},
	Volume = {150},
	Year = {2014}}

@book{Ziegler-polytopes,
	Address = {New York},
	Author = {G{\"u}nter~M.~Ziegler},
	Pages = {vii+370},
	Publisher = {Springer-Verlag},
	Series = {Graduate Texts in Mathematics},
	Title = {Lectures on Polytopes},
	Volume = {152},
	Year = {1998}}

@unpublished{Thurston,
	Author = {Thurston, Dylan},
	Note = {Preprint},
	Title = {Geometric intersection of curves on surfaces},
	Year = {2008}}

@article{FreedmanHassScott,
	Author = {Freedman, Michael and Hass, Joel and Scott, Peter},
	Fjournal = {Bulletin of the London Mathematical Society},
	Journal = {Bulletin of the London Mathematical Society},
	Number = {5},
	Pages = {385--391},
	Title = {Closed geodesics on surfaces},
	Volume = {14},
	Year = {1982}}

@article{Neumann-Coto,
	Author = {Neumann-Coto, Max},
	Fjournal = {Algebr. Geom. Topol.},
	Journal = {Algebr. Geom. Topol.},
	Number = {1},
	Pages = {349--368},
	Title = {A characterization of shortest geodesics on surfaces},
	Volume = {1},
	Year = {2001}}

@unpublished{LekiliPolishchuk,
	Author = {Lekili, Yanki and Polishchuk, Alexander},
	Note = {Preprint, \href{http://arxiv.org/abs/1801.06370}{\texttt{arXiv:1801.06370}}},
	Title = {Derived equivalences of gentle algebras via {F}ukaya categories},
	Year = {2018}}

@article{Schroer,
	Author = {Schr\"{o}er, Jan},
	Date-Modified = {2019-04-29 11:52:35 +1000},
	Doi = {10.1006/jabr.1998.7696 },
	Fjournal = {Journal of Algebra},
	Journal = {J. Algebra},
	Number = {1},
	Pages = {178--189},
	Title = {Modules without self-extensions over gentle algebras},
	Volume = {216},
	Year = {1999}}