Not all knots are smoothly round handle slice
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912498383323136 |
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| author | Lidman, Tye Miller, Allison N. Ray, Arunima |
| author_facet | Lidman, Tye Miller, Allison N. Ray, Arunima |
| contents | Freedman and Krushkal showed that if the surgery conjecture and the $s$-cobordism conjecture hold for all topological 4-manifolds, then every link with pairwise zero linking numbers is topologically round handle slice. Kim, Powell, and Teichner showed that every knot is topologically round handle slice. We show that infinitely many knots fail to be smoothly round handle slice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Not all knots are smoothly round handle slice Lidman, Tye Miller, Allison N. Ray, Arunima Geometric Topology 57K10, 57K40, 57N35 Freedman and Krushkal showed that if the surgery conjecture and the $s$-cobordism conjecture hold for all topological 4-manifolds, then every link with pairwise zero linking numbers is topologically round handle slice. Kim, Powell, and Teichner showed that every knot is topologically round handle slice. We show that infinitely many knots fail to be smoothly round handle slice. |
| title | Not all knots are smoothly round handle slice |
| topic | Geometric Topology 57K10, 57K40, 57N35 |
| url | https://arxiv.org/abs/2507.17584 |