Notions of Anosov representation of relatively hyperbolic groups
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915940848893952 |
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| author | Wang, Tianqi |
| author_facet | Wang, Tianqi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15636 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Notions of Anosov representation of relatively hyperbolic groups Wang, Tianqi Geometric Topology Differential Geometry Dynamical Systems Group Theory 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. |
| title | Notions of Anosov representation of relatively hyperbolic groups |
| topic | Geometric Topology Differential Geometry Dynamical Systems Group Theory |
| url | https://arxiv.org/abs/2309.15636 |