Non-amenability of mapping class groups of infinite-type surfaces and graphs
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918376732884992 |
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| author | Long, Yusen |
| author_facet | Long, Yusen |
| contents | This paper completely determines the non-amenability of the mapping class groups of infinite-type surfaces, the mapping class groups of locally finite infinite graphs of higher ranks, gives an example of non-amenable stabiliser of a point at infinity of a coarsely bounded generated hyperbolic Polish group, and exhibits a class of mapping class groups of trees or rank-one graphs that are amenable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06538 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-amenability of mapping class groups of infinite-type surfaces and graphs Long, Yusen Group Theory Geometric Topology 57M60, 54H11 This paper completely determines the non-amenability of the mapping class groups of infinite-type surfaces, the mapping class groups of locally finite infinite graphs of higher ranks, gives an example of non-amenable stabiliser of a point at infinity of a coarsely bounded generated hyperbolic Polish group, and exhibits a class of mapping class groups of trees or rank-one graphs that are amenable. |
| title | Non-amenability of mapping class groups of infinite-type surfaces and graphs |
| topic | Group Theory Geometric Topology 57M60, 54H11 |
| url | https://arxiv.org/abs/2506.06538 |