An explicit presentation for asymptotically rigid mapping class groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912983885545472 |
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| author | Domingo-Zubiaga, Sergio |
| author_facet | Domingo-Zubiaga, Sergio |
| contents | We show that several families of asymptotically rigid mapping class groups arise as explicit quotients of the fundamental group of a graph of groups, with mapping class groups as vertex and edge stabilizers. Using this description, and building on the work of Labruère and Paris, we compute explicit presentations for asymptotically rigid mapping class groups of surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25586 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An explicit presentation for asymptotically rigid mapping class groups Domingo-Zubiaga, Sergio Geometric Topology Group Theory 57K20 (Primary) 20F05, 57M60 (Secondary) We show that several families of asymptotically rigid mapping class groups arise as explicit quotients of the fundamental group of a graph of groups, with mapping class groups as vertex and edge stabilizers. Using this description, and building on the work of Labruère and Paris, we compute explicit presentations for asymptotically rigid mapping class groups of surfaces. |
| title | An explicit presentation for asymptotically rigid mapping class groups |
| topic | Geometric Topology Group Theory 57K20 (Primary) 20F05, 57M60 (Secondary) |
| url | https://arxiv.org/abs/2603.25586 |