Mapping class groups of simply connected 4-manifolds with boundary
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916357493227520 |
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| author | Orson, Patrick Powell, Mark |
| author_facet | Orson, Patrick Powell, Mark |
| contents | We compute the topological mapping class group of every compact, simply connected, topological 4-manifold. This was previously only known in the closed case. If the 4-manifold is smooth, we deduce an analogous description of the stable smooth mapping class group, extending work of Saeki. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_05986 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mapping class groups of simply connected 4-manifolds with boundary Orson, Patrick Powell, Mark Geometric Topology 57K40, 57N37, 57R52, 57S05 We compute the topological mapping class group of every compact, simply connected, topological 4-manifold. This was previously only known in the closed case. If the 4-manifold is smooth, we deduce an analogous description of the stable smooth mapping class group, extending work of Saeki. |
| title | Mapping class groups of simply connected 4-manifolds with boundary |
| topic | Geometric Topology 57K40, 57N37, 57R52, 57S05 |
| url | https://arxiv.org/abs/2207.05986 |