On the center of quiver-Hecke algebras

TL;DR

This paper explores the structure of the center of quiver-Hecke algebras and related cohomology rings, revealing connections between algebraic centers and geometric moduli spaces.

Contribution

It provides explicit computations of the equivariant cohomology ring of instanton moduli spaces and links it to the center of cyclotomic degenerate affine Hecke algebras.

Findings

Cohomology ring is a Rees algebra linked to the algebra's center.

Explicit description of the center of quiver Hecke algebras.

Connections established between algebraic centers and geometric moduli spaces.

Abstract

We compute the equivariant cohomology ring of the moduli space of framed instantons over the affine plane. It is a Rees algebra associated with the center of cyclotomic degenerate affine Hecke algebras of type A. We also give some related results on the center of quiver Hecke algebras and cohomology of quiver varieties.