Notions of Anosov representation of relatively hyperbolic groups

Tianqi Wang

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arXiv · 2309.15636

Notions of Anosov representation of relatively hyperbolic groups

Tianqi Wang

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Abstract

We prove that divergent, extended geometrically finite (in the sense of Weisman arXiv:2205.07183) representations can be interpreted as restricted Anosov (in the sense of Tholozan--Wang arXiv:2307.02934) representations over certain flow spaces. We also show that the representations of this type are stable under small type preserving deformations. As an example, we show that a representation induced from a geometrically finite one through a Galois covering, constructed in Tholozan--Wang arXiv:2307.02934, is divergent and extended geometrically finite with a non-homeomorphic boundary extension.

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Tianqi Wang. 2023-09-27. Notions of Anosov representation of relatively hyperbolic groups. https://arxiv.org/abs/2309.15636

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