Topological restrictions on Anosov representations

摘要

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 Pk-Anosov representations into SL(d,R) and offer several characterizations of Benoist representations.