The number of ends of big mapping class groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866914206234705920 |
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| author | Oh, Josiah Qing, Yulan Wu, Xiaolei |
| author_facet | Oh, Josiah Qing, Yulan Wu, Xiaolei |
| contents | We analyze the number of ends of the mapping class group of a stable avenue surface. We prove that the mapping class group is one-ended whenever the stable avenue surface has at least one end of discrete type. Our method is to show that the associated translatable curve graph, which is quasi-isometric to the mapping class group, is one-ended. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09776 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The number of ends of big mapping class groups Oh, Josiah Qing, Yulan Wu, Xiaolei Geometric Topology Group Theory Metric Geometry We analyze the number of ends of the mapping class group of a stable avenue surface. We prove that the mapping class group is one-ended whenever the stable avenue surface has at least one end of discrete type. Our method is to show that the associated translatable curve graph, which is quasi-isometric to the mapping class group, is one-ended. |
| title | The number of ends of big mapping class groups |
| topic | Geometric Topology Group Theory Metric Geometry |
| url | https://arxiv.org/abs/2512.09776 |