2015•arXiv (Cornell University)Open access

Maximal Green Sequences for Cluster Algebras Associated to the\n Orientable Surfaces of Genus n with Arbitrary Punctures

Eric Bucher, Matthew R. Mills

Abstract

It is well known that any triangulation of a marked surface produces a\nquiver. In this paper we will provide a triangulation for orientable surfaces\nof genus $n$ with an arbitrary number interior marked points (called punctures)\nwhose corresponding quiver has a maximal green sequence.\n

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Key concepts: Quiver, Triangulation, Genus, Surface (topology), Mathematics, Combinatorics, Cluster (spacecraft), Cluster algebra