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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2406.08118 |
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| _version_ | 1866909747266977792 |
|---|---|
| author | Zhang, Junming |
| author_facet | Zhang, Junming |
| contents | We prove the representation given by a stable $α_1$-cyclic parabolic $\mathrm{SO}_0(2,3)$-Higgs bundle through the non-Abelian Hodge correspondence is $\{α_2\}$-almost dominated. This is a generalization of Filip's result on weight $3$ variation of Hodge structures and answers a question asked by Collier, Tholozan and Toulisse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-maximal Anosov representations from surface groups to $\mathrm{SO}_0(2,3)$ Zhang, Junming Differential Geometry We prove the representation given by a stable $α_1$-cyclic parabolic $\mathrm{SO}_0(2,3)$-Higgs bundle through the non-Abelian Hodge correspondence is $\{α_2\}$-almost dominated. This is a generalization of Filip's result on weight $3$ variation of Hodge structures and answers a question asked by Collier, Tholozan and Toulisse. |
| title | Non-maximal Anosov representations from surface groups to $\mathrm{SO}_0(2,3)$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.08118 |