Quasi-isometric embeddings inapproximable by Anosov representations

2020/02/26 by Tsouvalas, Konstantinos
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2002.11782

Abstract

We construct examples of quasi-isometric embeddings of word hyperbolic groups into SL(d,ℝ) for d \geqslant 5 which are not limits of Anosov representations into SL(d,ℝ). As a consequence, we conclude that an analogue of the density theorem for PSL(2,ℂ) does not hold for SL(d,ℝ) when d \geqslant 5.

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