Deformations of quasi-Hamiltonian spaces
Abstract
We introduce a notion of deformations of quasi-Hamiltonian G -spaces to Hamiltonian G -spaces and provide several examples. In particular, we show that the double G × G of a Lie group, viewed as a quasi-Hamiltonian G × G -space, deforms smoothly to the cotangent bundle T ⁎ G . Likewise, any conjugacy class of G sufficiently close to the identity deforms to a coadjoint orbit. We further show that the moduli space of flat G -connections on a compact oriented surface of genus g with r + 1 boundary components deforms to T ⁎ G r + g .
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Geometry and complex manifolds
Publication details
- Journal / source
- Differential Geometry and its Applications
- Publisher
- Elsevier BV
- Volume
- 103
- Pages
- 102371–102371
- Publication date
- 26 March 2026
- Language
- EN