Finite presentations of the mapping class groups of once-stabilized Heegaard splittings
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909430895869952 |
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| author | Iguchi, Daiki |
| author_facet | Iguchi, Daiki |
| contents | Let $g \ge 2$ and assume that we are given a genus $g$ Heegaard splitting of a closed orientable $3$-manifold with the distance greater than $2g+2$. We prove that the mapping class group of the once-stabilization of such a Heegaard splitting is finitely presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_14059 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Finite presentations of the mapping class groups of once-stabilized Heegaard splittings Iguchi, Daiki Geometric Topology 57K30, 57M60 Let $g \ge 2$ and assume that we are given a genus $g$ Heegaard splitting of a closed orientable $3$-manifold with the distance greater than $2g+2$. We prove that the mapping class group of the once-stabilization of such a Heegaard splitting is finitely presented. |
| title | Finite presentations of the mapping class groups of once-stabilized Heegaard splittings |
| topic | Geometric Topology 57K30, 57M60 |
| url | https://arxiv.org/abs/2203.14059 |