On equivariant embeddings of hyperbolic surfaces into hyperbolic 3-manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913275627700224 |
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| author | Zimmermann, Bruno P. |
| author_facet | Zimmermann, Bruno P. |
| contents | We consider the problem of when a closed hyperbolic surface admits a totally geodesic embedding into a closed hyperbolic 3-manifold, and in particular equivariant versions of such embeddings. In a previous paper we considered orientation-preserving actions on orientable surfaces; in the present paper, we consider large orientation-reversing actions on orientable surfaces, and also large actions on nonorientable surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On equivariant embeddings of hyperbolic surfaces into hyperbolic 3-manifolds Zimmermann, Bruno P. Geometric Topology We consider the problem of when a closed hyperbolic surface admits a totally geodesic embedding into a closed hyperbolic 3-manifold, and in particular equivariant versions of such embeddings. In a previous paper we considered orientation-preserving actions on orientable surfaces; in the present paper, we consider large orientation-reversing actions on orientable surfaces, and also large actions on nonorientable surfaces. |
| title | On equivariant embeddings of hyperbolic surfaces into hyperbolic 3-manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2403.06849 |