Mapping class groups are quasicubical
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913410818506752 |
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| author | Petyt, Harry |
| author_facet | Petyt, Harry |
| contents | It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_10681 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Mapping class groups are quasicubical Petyt, Harry Metric Geometry Group Theory It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups. |
| title | Mapping class groups are quasicubical |
| topic | Metric Geometry Group Theory |
| url | https://arxiv.org/abs/2112.10681 |