Finite group actions on quasi-Hamiltonian spaces

TL;DR

This paper studies how finite groups act on quasi-Hamiltonian spaces and applies these properties to understand moduli spaces of flat connections on surfaces with boundary.

Contribution

It systematically organizes properties of finite group actions on quasi-Hamiltonian spaces and applies them to moduli space theory.

Findings

Established fundamental properties of finite group actions on quasi-Hamiltonian spaces.

Applied these properties to the study of moduli spaces of flat connections.

Provided new insights into the structure of moduli spaces with boundary.

Abstract

We organize fundamental properties of quasi-Hamiltonian spaces on which a finite group acts, and we apply them to the theory of moduli spaces of flat connections on an oriented compact surface with boundary.