English

The quasi-Poisson Goldman formula

Differential Geometry 2023-07-04 v2

Abstract

We prove a quasi-Poisson bracket formula for the space of representations of the fundamental groupoid of a surface with boundary, which generalizes Goldman's Poisson bracket formula. We also deduce a similar formula for quasi-Poisson cross-sections.

Keywords

Cite

@article{arxiv.1301.5231,
  title  = {The quasi-Poisson Goldman formula},
  author = {Xin Nie},
  journal= {arXiv preprint arXiv:1301.5231},
  year   = {2023}
}
R2 v1 2026-06-21T23:13:35.771Z