Boundedness criteria for real quivers of rank 3

TL;DR

This paper characterizes when mutation classes of rank 3 quivers with real weights are bounded, providing a clear criterion for their boundedness in the context of quiver mutation theory.

Contribution

It offers the first complete characterization of bounded mutation classes for real quivers of rank 3, advancing understanding in quiver mutation classification.

Findings

Provides a criterion for boundedness of rank 3 real quivers

Classifies bounded mutation classes for these quivers

Enhances understanding of mutation dynamics in weighted quivers

Abstract

We study the boundedness of a mutation class for quivers with real weights. The main result is a characterization of bounded mutation classes for real quivers of rank 3.