Framed quiver moduli spaces

Abstract: The aim of this talk is to review the utility of studying framed versions of moduli spaces of quiver representations. We first review the general construction of framed moduli spaces, and discuss several classes of examples (for example, acyclic quivers and quiver Grassmannians, m-loop quivers and explicit normal forms). Turning to the topology of framed quiver moduli spaces, we state a formula for their Betti numbers, and exhibit a coupled system of functional equations relating Euler characteristic of framed and unframed moduli spaces. Finally, we study the geometry of the Hilbert-Chow map from framed to unframed moduli spaces, and derive a formula for the intersection Betti numbers of unframed moduli spaces from this.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

( slides )

The TRAC Seminar - Théorie de Représentations et ses Applications et Connections