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Pré-Publication, Document De Travail Année : 2023

Simple Anosov representations of closed surface groups

Résumé

We introduce and study simple Anosov representations of closed hyperbolic surface groups, analogous to Minsky's primitive stable representations of free groups. We prove that the set of simple Anosov representations into $\mathrm{SL}(d, \mathbb C)$ with $d\geq 4$ 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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hal-04308214 , version 1 (27-11-2023)

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Nicolas Tholozan, Tianqi Wang. Simple Anosov representations of closed surface groups. 2023. ⟨hal-04308214⟩
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