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

Abstract

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

arXiv admin note: text overlap with arXiv:1412.3713

References in corpus (3)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• On cluster algebras from once punctured closed surfaces
• Maximal Green Sequences for Cluster Algebras Associated to the n-Torus

Cited by in corpus (3)

• Donaldson-Thomas trasnsformations of moduli spaces of G-local systems
• Reddening Sequences for Banff Quivers and the Class $\mathcal{P}$
• Minimal Length Maximal Green Sequences and Triangulations of Polygons