Bounding the Dehn surgery number by 10/8
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914813298343936 |
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| author | Liu, Beibei Piccirillo, Lisa |
| author_facet | Liu, Beibei Piccirillo, Lisa |
| contents | We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space $L(2k,1)$ which are not surgery on any knot in the three-sphere. Our argument uses Furuta's 10/8-theorem, and is simple and combinatorial to apply. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16904 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounding the Dehn surgery number by 10/8 Liu, Beibei Piccirillo, Lisa Geometric Topology 57K10, 57K30, 57K40 We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space $L(2k,1)$ which are not surgery on any knot in the three-sphere. Our argument uses Furuta's 10/8-theorem, and is simple and combinatorial to apply. |
| title | Bounding the Dehn surgery number by 10/8 |
| topic | Geometric Topology 57K10, 57K30, 57K40 |
| url | https://arxiv.org/abs/2405.16904 |