Pseudo-Anosov subgroups of surface bundles over tori
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918018326462464 |
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| author | Ryang, Junmo |
| author_facet | Ryang, Junmo |
| contents | We show that finitely generated, purely pseudo-Anosov subgroups of the fundamental groups of surface bundles over tori are convex cocompact as subgroups of the mapping class group via the Birman exact sequence. This generalizes the fact that similar groups within fibered 3-manifold groups are convex cocompact, which is a combination of results due to Dowdall, Kent, Leininger, Russell, and Schleimer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudo-Anosov subgroups of surface bundles over tori Ryang, Junmo Geometric Topology Group Theory 57K20, 20F65, 20E08 We show that finitely generated, purely pseudo-Anosov subgroups of the fundamental groups of surface bundles over tori are convex cocompact as subgroups of the mapping class group via the Birman exact sequence. This generalizes the fact that similar groups within fibered 3-manifold groups are convex cocompact, which is a combination of results due to Dowdall, Kent, Leininger, Russell, and Schleimer. |
| title | Pseudo-Anosov subgroups of surface bundles over tori |
| topic | Geometric Topology Group Theory 57K20, 20F65, 20E08 |
| url | https://arxiv.org/abs/2505.07848 |