An easier way to compute 2-cocycles coming from a reduction for semidirect products
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916978810159104 |
|---|---|
| author | Goncharov, Viacheslav |
| author_facet | Goncharov, Viacheslav |
| contents | For Hamiltonian actions of semidirect products $G=F \ltimes H$, we study 2-cocycles arising from residual Hamiltonian actions of $F$ on Hamiltonian reductions for $H$. The motivation comes from the study of Teichmuller spaces for surfaces with boundary, which carry Hamiltonian actions of the Virasoro algebra. In this paper, we give a general setup for the problem, and we suggest an easier way to obtain the Gelfand-Fuchs 2-cocycles for Hamiltonian actions on Teichmuller spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16169 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An easier way to compute 2-cocycles coming from a reduction for semidirect products Goncharov, Viacheslav Mathematical Physics For Hamiltonian actions of semidirect products $G=F \ltimes H$, we study 2-cocycles arising from residual Hamiltonian actions of $F$ on Hamiltonian reductions for $H$. The motivation comes from the study of Teichmuller spaces for surfaces with boundary, which carry Hamiltonian actions of the Virasoro algebra. In this paper, we give a general setup for the problem, and we suggest an easier way to obtain the Gelfand-Fuchs 2-cocycles for Hamiltonian actions on Teichmuller spaces. |
| title | An easier way to compute 2-cocycles coming from a reduction for semidirect products |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2509.16169 |