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Topological restrictions on Anosov representations
Journal of Topology  (IF1.582),  Pub Date : 2020-08-26, DOI: 10.1112/topo.12166
Richard Canary, Konstantinos Tsouvalas

We characterize groups admitting Anosov representations into $SL ( 3 , R )$, projective Anosov representations into $SL ( 4 , R )$, and Borel Anosov representations into $SL ( 4 , R )$. More generally, we obtain bounds on the cohomological dimension of groups admitting $P k$‐Anosov representations into $SL ( d , R )$ and offer several characterizations of Benoist representations.