Séminaire Lotharingien de Combinatoire, 82B.88 (2019), 12 pp.

Esther Banaian and Elizabeth Kelley

Snake graphs and frieze patterns from orbifolds

Abstract. We give an explicit combinatorial formula for the Laurent expansion of any cluster variable of any generalized cluster algebra from a triangulated orbifold, with respect to any initial seed, and associate frieze patterns to orbifolds.

Received: November 15, 2018. Accepted: February 17, 2019. Final version: April 1, 2019.

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