Mapping class groups with the Rokhlin property
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911791054848000 |
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| author | Lanier, Justin Vlamis, Nicholas G. |
| author_facet | Lanier, Justin Vlamis, Nicholas G. |
| contents | We classify the connected orientable 2-manifolds whose mapping class groups have a dense conjugacy class. We also show that the mapping class group of a connected orientable 2-manifold has a comeager conjugacy class if and only if the mapping class group is trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_11280 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Mapping class groups with the Rokhlin property Lanier, Justin Vlamis, Nicholas G. Geometric Topology Dynamical Systems Group Theory 57K20, 54H11, 37B05, 20E45 We classify the connected orientable 2-manifolds whose mapping class groups have a dense conjugacy class. We also show that the mapping class group of a connected orientable 2-manifold has a comeager conjugacy class if and only if the mapping class group is trivial. |
| title | Mapping class groups with the Rokhlin property |
| topic | Geometric Topology Dynamical Systems Group Theory 57K20, 54H11, 37B05, 20E45 |
| url | https://arxiv.org/abs/2105.11280 |