Mapping class group orbit closures for Deroin-Tholozan representations
Dynamical Systems
2026-01-07 v2 Geometric Topology
Symplectic Geometry
Abstract
We prove that infinite mapping class group orbits are dense in the character variety of Deroin-Tholozan representations. In other words, the action is minimal except for finite orbits. Our arguments rely on the symplectic structure of the character variety, emphasizing this geometric perspective over its algebraic properties.
Cite
@article{arxiv.2411.10269,
title = {Mapping class group orbit closures for Deroin-Tholozan representations},
author = {Yohann Bouilly and Gianluca Faraco and Arnaud Maret},
journal= {arXiv preprint arXiv:2411.10269},
year = {2026}
}
Comments
39 pages, 15 figures