Dehn surgery functions are never injective
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909742702526464 |
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| author | Hayden, Kyle Piccirillo, Lisa Wakelin, Laura |
| author_facet | Hayden, Kyle Piccirillo, Lisa Wakelin, Laura |
| contents | We prove that, for each fixed rational number $p/q \in \mathbb{Q}$, there exists a pair of distinct knots whose $p/q$-surgeries are orientation-preservingly homeomorphic. This confirms a 1978 conjecture of Gordon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13369 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dehn surgery functions are never injective Hayden, Kyle Piccirillo, Lisa Wakelin, Laura Geometric Topology 57K10, 57K14, 57K30 We prove that, for each fixed rational number $p/q \in \mathbb{Q}$, there exists a pair of distinct knots whose $p/q$-surgeries are orientation-preservingly homeomorphic. This confirms a 1978 conjecture of Gordon. |
| title | Dehn surgery functions are never injective |
| topic | Geometric Topology 57K10, 57K14, 57K30 |
| url | https://arxiv.org/abs/2508.13369 |