Topological restrictions on Anosov representations

Richard Canary; Konstantinos Tsouvalas

doi:10.1112/topo.12166

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arXiv · 1904.02002

Topological restrictions on Anosov representations

Richard Canary·Konstantinos Tsouvalas

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Abstract

We characterize groups admitting Anosov representations into $\mathsf{SL}(3,\mathbb R)$, projective Anosov representations into $\mathsf{SL}(4,\mathbb R)$, and Borel Anosov representations into $\mathsf{SL}(4,\mathbb R)$. More generally, we obtain bounds on the cohomological dimension of groups admitting $P_k$-Anosov representations into $\mathsf{SL}(d,\mathbb R)$ and offer several characterizations of Benoist representations.

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Richard Canary, Konstantinos Tsouvalas. 2019-05-07. Topological restrictions on Anosov representations. https://doi.org/10.1112/topo.12166

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