Simple Anosov representations of closed surface groups

Nicolas Tholozan; Tianqi Wang

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arXiv · 2307.02934

Simple Anosov representations of closed surface groups

Nicolas Tholozan·Tianqi Wang

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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 $\mathrm{SL}(d,\mathbb{C})$ with $d \geqslant 4$ 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.

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BibTeX RIS

Nicolas Tholozan, Tianqi Wang. 2023-07-06. Simple Anosov representations of closed surface groups. https://arxiv.org/abs/2307.02934

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