Deformations of quasi-Hamiltonian spaces

Key Points

• This research aims to define how quasi-Hamiltonian G-spaces can be deformed into Hamiltonian G-spaces, exploring specific examples and applications.
• Introduced a new notion of deformation for quasi-Hamiltonian G-spaces.
• Provided several mathematical examples of deformations, including specific configurations of G-groups.
• Analyzed the transition of conjugacy classes near the identity to coadjoint orbits.
• The double G × G as a quasi-Hamiltonian G × G-space smoothly deforms to the cotangent bundle T ⁎ G.
• Conjugacy classes of G near the identity deform into coadjoint orbits.
• The moduli space of flat G-connections on a surface deforms to T ⁎ G r + g.

Abstract