The search for exotic knot traces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917361486921728 |
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| author | Kegel, Marc Spreer, Jonathan |
| author_facet | Kegel, Marc Spreer, Jonathan |
| contents | Two distinct knots are said to be friends if their complements, filled along the 0-slope, produce diffeomorphic 3-manifolds. In this article, we develop a practical algorithm, implemented using SnapPy and Regina, to search for a friend of a given knot. As an application, we construct a census of simple knots that admit friends and use these data to formulate conjectures about knot friends. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22438 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The search for exotic knot traces Kegel, Marc Spreer, Jonathan Geometric Topology 57R65, 57K10, 57K32 Two distinct knots are said to be friends if their complements, filled along the 0-slope, produce diffeomorphic 3-manifolds. In this article, we develop a practical algorithm, implemented using SnapPy and Regina, to search for a friend of a given knot. As an application, we construct a census of simple knots that admit friends and use these data to formulate conjectures about knot friends. |
| title | The search for exotic knot traces |
| topic | Geometric Topology 57R65, 57K10, 57K32 |
| url | https://arxiv.org/abs/2603.22438 |