Snake Graphs from Triangulated Orbifolds

dc.contributor.author	Banaian, Esther
dc.contributor.author	Kelley, Elizabeth
dc.date.accessioned	2025-12-23T13:11:38Z
dc.date.issued	2020
dc.description.abstract	We give an explicit combinatorial formula for the Laurent expansion of any arc or closed curve on an unpunctured triangulated orbifold. We do this by extending the snake graph construction of Musiker, Schiffler, and Williams to unpunctured orbifolds. In the case of an ordinary arc, this gives a combinatorial proof of positivity to the generalized cluster algebra from this orbifold.
dc.description.sponsorship	We would like to thank Gregg Musiker for many helpful discussions and his patient generosity in reading and providing feedback on many iterations of this paper. We would also like to thank the anonymous referees for their helpful comments.
dc.identifier.citation	Snake Graphs from Triangulated Orbifolds. Esther Banaian and Elizabeth Kelley. SIGMA 16 (2020), 138, 50 pages
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2020.138
dc.identifier.issn	1815-0659
dc.identifier.other	2020 Mathematics Subject Classification: 05E15; 05C70; 16S99
dc.identifier.other	arXiv:2003.13872
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/211081
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	Snake Graphs from Triangulated Orbifolds
dc.type	Article

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