| Publication type: |
 |
Preprint, Working Paper, ... |
|
| Subject: |
|
|
|
| Title: |
|
Quasi-Poisson structures on representation spaces of surfaces |
|
| Author(s): |
|
Gwenael Massuyeau 1, Vladimir Turaev 2 |
|
| Laboratory: |
|
|
|
| Abstract: |
|
Given an oriented surface S with base point * on the boundary, we introduce for all N>0, a canonical quasi-Poisson bracket on the space of N-dimensional linear representations of \pi_1(S,*). Our bracket extends the well-known Poisson bracket on GL_N-invariant functions on this space. Our main tool is a natural structure of a quasi-Poisson double algebra (in the sense of M. Van den Bergh) on the group algebra of \pi_1(S,*). |
|
| Fulltext language: |
|
English |
|
| Production date: |
|
2012-05-22 |
|
|
| Comment: |
|
43 pages |
|
|
Export this paper
