On transverse-universality of twist knots
| Autor: | Zapata, Sebastian |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the search for transverse-universal knots in the standard contact structure of $\mathbb{S}^3$, we present a classification of the transverse twist knots with maximal self-linking number, that admit only overtwisted contact branched covers. As a direct consequence, we obtain an infinite family of transverse knots in $(\mathbb{S}^3,\xi_{std})$ that are not transverse-universal, although they are universal in the topological sense. Comment: 16 pages, 18 figures |
| Databáze: | arXiv |
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