Quivers and moduli of their thin sincere representations in Macaulay2

TL;DR

This paper introduces a Macaulay2 package called ThinSincereQuivers for analyzing acyclic quivers, their moduli of thin-sincere representations, and related reflexive flow polytopes, with applications demonstrated through literature examples.

Contribution

The paper presents a new Macaulay2 package that facilitates the study of acyclic quivers and their moduli spaces, including the computation of reflexive flow polytopes.

Findings

Package successfully recovers known examples from literature

Enables detailed analysis of thin-sincere representations

Provides computational tools for quiver moduli and polytopes

Abstract

We introduce the Macaulay2 package ThinSincereQuivers for studying acyclic quivers, the moduli of their thin-sincere representations, and the reflexive flow polytopes associated to them. We provide some background on the topic and illustrate how the package recovers examples from the literature.