Smoothing 3-manifolds in 5-manifolds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917310664540160 |
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| author | Daher, Michelle Powell, Mark |
| author_facet | Daher, Michelle Powell, Mark |
| contents | We show that every locally flat topological embedding of a 3-manifold in a smooth 5-manifold is homotopic, by a small homotopy, to a smooth embedding. We deduce that topologically locally flat concordance implies smooth concordance for smooth surfaces in smooth 4-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15962 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Smoothing 3-manifolds in 5-manifolds Daher, Michelle Powell, Mark Geometric Topology 57K10, 57N35, 57N70 We show that every locally flat topological embedding of a 3-manifold in a smooth 5-manifold is homotopic, by a small homotopy, to a smooth embedding. We deduce that topologically locally flat concordance implies smooth concordance for smooth surfaces in smooth 4-manifolds. |
| title | Smoothing 3-manifolds in 5-manifolds |
| topic | Geometric Topology 57K10, 57N35, 57N70 |
| url | https://arxiv.org/abs/2309.15962 |