Maximal Green Sequences for Cluster Algebras Associated to the n-Torus

2014/12/11 by Bucher, Eric
#Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1412.3713

Abstract

Given a marked surface (S,M) we can add arcs to the surface to create a triangulation, T, of that surface. For each triangulation, T, we can associate a cluster algebra. In this paper we will consider the torus of genus n with two interior marked points (called punctures). We will construct a specific triangulation of this surface which yeilds a specific quiver. Then in the sense of work by Keller we will produce a maximal green sequence for this quiver.

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