Finite presentations of the mapping class groups of once-stabilized Heegaard splittings
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909430895869952 |
|---|---|
| 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 |