Torus-Equivariant Chow Rings of Quiver Moduli

TL;DR

This paper computes the rational equivariant Chow rings of quiver moduli spaces using torus localization, providing explicit generators and relations, and compares different descriptions of these rings.

Contribution

It introduces a new method for computing equivariant Chow rings of quiver moduli spaces with explicit presentations.

Findings

Derived a presentation of the Chow rings in terms of generators and relations

Identified the Chow ring as a subring of the fixed point locus via localization

Compared different descriptions of the Chow rings

Abstract

We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to identify it as a subring of the Chow ring of the fixed point locus, and we compare the two descriptions.