Coarsely bounded generating sets for mapping class groups of infinite-type surfaces
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915296770523136 |
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| author | Hill, Thomas Kwak, Sanghoon Rechkin, Rebecca |
| author_facet | Hill, Thomas Kwak, Sanghoon Rechkin, Rebecca |
| contents | Mann and Rafi's seminal work initiated the study of the coarse geometry of big mapping class groups. Specifically, they construct coarsely bounded (CB) generating sets for mapping class groups of a large class of infinite-type surfaces. In this expository note, we illustrate examples of surfaces whose mapping class groups admit such generating sets, as well as those that do not, with the goal of exploring the context of Mann--Rafi's hypotheses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02361 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coarsely bounded generating sets for mapping class groups of infinite-type surfaces Hill, Thomas Kwak, Sanghoon Rechkin, Rebecca Geometric Topology Mann and Rafi's seminal work initiated the study of the coarse geometry of big mapping class groups. Specifically, they construct coarsely bounded (CB) generating sets for mapping class groups of a large class of infinite-type surfaces. In this expository note, we illustrate examples of surfaces whose mapping class groups admit such generating sets, as well as those that do not, with the goal of exploring the context of Mann--Rafi's hypotheses. |
| title | Coarsely bounded generating sets for mapping class groups of infinite-type surfaces |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2312.02361 |