Surface slices and homology spheres
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917205226029056 |
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| author | McDonald, Clayton |
| author_facet | McDonald, Clayton |
| contents | We develop the theory of the diagrammatics of surface cross sections to prove that there are an infinite number of homology 3-spheres smoothly embeddable in a homology 4-sphere but not in a homotopy 4-sphere. Our primary obstruction comes from work of Taubes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_02696 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Surface slices and homology spheres McDonald, Clayton Geometric Topology 57K10, 57K31, 57K41, 57K99 We develop the theory of the diagrammatics of surface cross sections to prove that there are an infinite number of homology 3-spheres smoothly embeddable in a homology 4-sphere but not in a homotopy 4-sphere. Our primary obstruction comes from work of Taubes. |
| title | Surface slices and homology spheres |
| topic | Geometric Topology 57K10, 57K31, 57K41, 57K99 |
| url | https://arxiv.org/abs/2202.02696 |