Atoroidal surface bundles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866914522118225920 |
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| author | Kent, Autumn E. Leininger, Christopher J. |
| author_facet | Kent, Autumn E. Leininger, Christopher J. |
| contents | We show that there is a type-preserving homomorphism from the fundamental group of the figure-eight knot complement to the mapping class group of the thrice-punctured torus. As a corollary, we obtain infinitely many commensurability classes of purely pseudo-Anosov surface subgroups of mapping class groups of closed surfaces. This gives the first examples of compact atoroidal surface bundles over surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Atoroidal surface bundles Kent, Autumn E. Leininger, Christopher J. Geometric Topology Group Theory We show that there is a type-preserving homomorphism from the fundamental group of the figure-eight knot complement to the mapping class group of the thrice-punctured torus. As a corollary, we obtain infinitely many commensurability classes of purely pseudo-Anosov surface subgroups of mapping class groups of closed surfaces. This gives the first examples of compact atoroidal surface bundles over surfaces. |
| title | Atoroidal surface bundles |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2405.12067 |