Topological restrictions on Anosov representations

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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Cited by in corpus (6)

• On Borel Anosov subgroups of $\mathrm{SL}(d,\mathbb{R})$
• Cubulated hyperbolic groups admit Anosov representations
• Convex co-compact representations of 3-manifold groups
• Topological and geometric restrictions on hyperconvex representations
• Cataclysms for Anosov representations
• Complete affine manifolds with Anosov holonomy groups