Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909982804410368 |
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| author | Davalo, Colin |
| author_facet | Davalo, Colin |
| contents | We prove that any Borel Anosov representations of a surface group into $Sp(4,\mathbb{R})$ that has maximal Toledo invariant must be Hitchin. We also prove that a representation of a surface group into $Sp(2n,\mathbb{R})$ that is $\{n-1,n\}$-Anosov is maximal if and only if it satisfies the hyperconvexity property $H_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_05584 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$ Davalo, Colin Geometric Topology 22E40, 53C35, 20F65 We prove that any Borel Anosov representations of a surface group into $Sp(4,\mathbb{R})$ that has maximal Toledo invariant must be Hitchin. We also prove that a representation of a surface group into $Sp(2n,\mathbb{R})$ that is $\{n-1,n\}$-Anosov is maximal if and only if it satisfies the hyperconvexity property $H_n$. |
| title | Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$ |
| topic | Geometric Topology 22E40, 53C35, 20F65 |
| url | https://arxiv.org/abs/2201.05584 |