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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 138, 50 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.138 (Mi sigma1674) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Snake Graphs from Triangulated Orbifolds

Esther Banaian, Elizabeth Kelley

School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
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DOI: https://doi.org/10.3842/SIGMA.2020.138
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.
Keywords: generalized cluster algebra, cluster algebra, orbifold, snake graph.
Received: March 31, 2020; in final form December 8, 2020; Published online December 17, 2020
Bibliographic databases:
Document Type: Article
MSC: 05E15, 05C70, 16S99
Language: English
Citation: Esther Banaian, Elizabeth Kelley, “Snake Graphs from Triangulated Orbifolds”, SIGMA, 16 (2020), 138, 50 pp.
Citation in format AMSBIB
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\by Esther~Banaian, Elizabeth~Kelley
\paper Snake Graphs from Triangulated Orbifolds
\jour SIGMA
\yr 2020
\vol 16
\papernumber 138
\totalpages 50
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    • This publication is cited in the following 2 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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