Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces
Differential Geometry
2018-02-28 v4
Abstract
In this paper, we explain how generalized dynamical r-matrices can be obtained by (quasi-)Poisson reduction. New examples of Poisson structures and Poisson groupoid actions naturally appear in this setting. As an application, we use a generalized dynamical r-matrix induced by the gauge fixing procedure to give a new finite dimensional description of the Atiyah-Bott symplectic structure on the moduli space of flat connections on a surface.
Keywords
Cite
@article{arxiv.1407.2071,
title = {Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces},
author = {Xiaomeng Xu},
journal= {arXiv preprint arXiv:1407.2071},
year = {2018}
}
Comments
21 pages