Quivers of finite mutation type and skew-symmetric matrices

TL;DR

This paper investigates the structural properties of quivers with finite mutation types, providing a characterization linked to surface triangulations and introducing a new numerical invariant for their mutation classes.

Contribution

It offers a new characterization of finite mutation type quivers related to surface triangulations and introduces a novel numerical invariant for their mutation classes.

Findings

Characterization of finite mutation type quivers associated with surface triangulations

Introduction of a new numerical invariant for mutation classes

Structural properties of quivers with finite mutation types

Abstract

In this paper, we study structural properties of finite mutation type quivers. In particular, we obtain a characterization of finite mutation type quivers that are associated with triangulations of surfaces and give a new numerical invariant for their mutation classes.