Links have no characterising slopes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912730758250496 |
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| author | Kegel, Marc Schmalian, Misha |
| author_facet | Kegel, Marc Schmalian, Misha |
| contents | We show that there is no analogue of characterising slopes for multi-component links. Concretely, we show that for any ordered link L in S3 with n>1 components and any rational slopes r_1, ..., r_n, there are infinitely many links L_i with non-homeomorphic complements such that the Dehn fillings L(r_1, ..., r_n) and L_i(r_1, ..., r_n) are homeomorphic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Links have no characterising slopes Kegel, Marc Schmalian, Misha Geometric Topology 57R65, 57K10 We show that there is no analogue of characterising slopes for multi-component links. Concretely, we show that for any ordered link L in S3 with n>1 components and any rational slopes r_1, ..., r_n, there are infinitely many links L_i with non-homeomorphic complements such that the Dehn fillings L(r_1, ..., r_n) and L_i(r_1, ..., r_n) are homeomorphic. |
| title | Links have no characterising slopes |
| topic | Geometric Topology 57R65, 57K10 |
| url | https://arxiv.org/abs/2511.21506 |