Simple Anosov representations of closed surface groups
Geometric Topology
2023-07-07 v1 Differential Geometry
Dynamical Systems
Abstract
We introduce and study \emph{simple Anosov representations} of closed hyperbolic surface groups, analogous to Minsky's \emph{primitive stable representations} of free groups. We prove that the set of simple Anosov representations into with strictly contains the set of Anosov representations. As a consequence, we construct domains of discontinuity for the mapping class group action on character varieties which contain non-discrete representations.
Cite
@article{arxiv.2307.02934,
title = {Simple Anosov representations of closed surface groups},
author = {Nicolas Tholozan and Tianqi Wang},
journal= {arXiv preprint arXiv:2307.02934},
year = {2023}
}