Poisson structure on character varieties. II
Symplectic Geometry
2025-08-20 v1 Algebraic Geometry
Abstract
Let G be a complex reductive group and D a finite subset of a compact Riemann surface X. It was shown in [BJ] that the moduli space of G-characters of the complement of D in X has a natural Poisson structure. We show that the moduli space of logarithmic G-connections on X singular over D has a Poisson structure. It is proved that the monodromy map from the moduli space of logarithmic G-connections to the moduli space of G-characters is Poisson structure preserving.
Cite
@article{arxiv.2508.13854,
title = {Poisson structure on character varieties. II},
author = {Indranil Biswas and Lisa C. Jeffrey},
journal= {arXiv preprint arXiv:2508.13854},
year = {2025}
}
Comments
10 pages