Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2508.13369 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909742702526464 |
|---|---|
| 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 |