Maximal Green Sequences for Cluster Algebras Associated to the n-Torus
Combinatorics
2014-12-12 v1 Quantum Algebra
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.
Cite
@article{arxiv.1412.3713,
title = {Maximal Green Sequences for Cluster Algebras Associated to the n-Torus},
author = {Eric Bucher},
journal= {arXiv preprint arXiv:1412.3713},
year = {2014}
}