Group actions on quiver varieties and applications

Abstract

We study algebraic actions of finite groups of quiver automorphisms on moduli spaces of quiver representations. We decompose the fixed loci using group cohomology and we give a modular interpretation of each component. As an application, we construct branes in hyperkaehler quiver varieties, as fixed loci of such actions.

To appear in the International Journal of Mathematics

References in corpus (4)

• Real structures on moduli spaces of Higgs bundles
• Diagram automorphisms of quiver varieties
• Branes in the moduli space of framed instantons
• On the Narasimhan-Seshadri correspondence for Real and Quaternionic vector bundles

Cited by in corpus (1)

• Moduli spaces of generalized hyperpolygons