Hatcher-Thurston complex for surfaces with non-planar ends
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912927602180096 |
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| author | Somvanshi, Manvendra |
| author_facet | Somvanshi, Manvendra |
| contents | In this paper, for each $k\in \mathbb{N}$, we define a complex $Γ_k(S)$ for an infinite-type surface $S$ with non-planar ends, which serves as an analog of the Hatcher-Thurston complex for the infinite-type setting. We show that $Γ_k(S)$ is connected, simply connected, and that the automorphism group of $Γ_k(S)$ is isomorphic to the extended mapping class group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22393 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hatcher-Thurston complex for surfaces with non-planar ends Somvanshi, Manvendra Geometric Topology In this paper, for each $k\in \mathbb{N}$, we define a complex $Γ_k(S)$ for an infinite-type surface $S$ with non-planar ends, which serves as an analog of the Hatcher-Thurston complex for the infinite-type setting. We show that $Γ_k(S)$ is connected, simply connected, and that the automorphism group of $Γ_k(S)$ is isomorphic to the extended mapping class group. |
| title | Hatcher-Thurston complex for surfaces with non-planar ends |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.22393 |