Finite group actions on quasi-Hamiltonian spaces

2025/12/20 by Keito Takegoshi, Takegoshi, Keito · 1 voice
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.SG

paper · pdf · doi:10.48550/arxiv.2512.18380

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.

Citations

• Introduction to moduli spaces and Dirac geometry
• Twisted wild character varieties
• Lie Group Valued Moment Maps

Discussions

• Keito Takegoshi: Finite group actions on quasi-Hamiltonian spaces https://arxiv.org/abs/2512.18380 https://arxiv.org/pdf/2512.18380 https://arxiv.org/html/2512.18380 [bsky, 0 points, 0 comments]

Related

• Deformations of quasi-Hamiltonian spaces
• Lie Group Valued Moment Maps
• Introduction to moduli spaces and Dirac geometry
• Quantum Moduli Spaces of Flat Connections
• Quasi-Hamiltonian model spaces