paper

Equivariant Moduli Theory on Surfaces

arXiv:2307.06719

Abstract

In this paper we study equivariant moduli spaces of sheaves on a surface under a symplectic action of a finite group. We prove that under some mild conditions, equivariant moduli spaces of sheaves on are irreducible symplectic manifolds deformation equivalent to Hilbert schemes of points on via a connection between Gieseker and Bridgeland moduli spaces, as well as the derived McKay correspondence.

This paper is part of the author's PhD thesis [arXiv:2204.09824]

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