Generating the Goeritz group of $S^3$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911999658557440 |
|---|---|
| author | Scharlemann, Martin |
| author_facet | Scharlemann, Martin |
| contents | In 1980 J. Powell \cite{Po} proposed that five specific elements sufficed to generate the Goeritz group for any genus Heegaard splitting of the 3-sphere. Here we prove that a natural expansion of Powell's proposed generators, to include all eyeglass twists and all topological conjugates of Powell's generators does suffice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_10613 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Generating the Goeritz group of $S^3$ Scharlemann, Martin Geometric Topology 57K35, 57M50, 57M60 In 1980 J. Powell \cite{Po} proposed that five specific elements sufficed to generate the Goeritz group for any genus Heegaard splitting of the 3-sphere. Here we prove that a natural expansion of Powell's proposed generators, to include all eyeglass twists and all topological conjugates of Powell's generators does suffice. |
| title | Generating the Goeritz group of $S^3$ |
| topic | Geometric Topology 57K35, 57M50, 57M60 |
| url | https://arxiv.org/abs/2011.10613 |