On transverse-universality of twist knots
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914261607907328 |
|---|---|
| author | Zapata, Sebastian |
| author_facet | Zapata, Sebastian |
| contents | In the search for transverse-universal knots in the standard contact structure on $\mathbb{S}^3$, 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 $(\mathbb{S}^3,ξ_{std})$ that are not transverse-universal, although they are universal in the topological sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12585 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On transverse-universality of twist knots Zapata, Sebastian Geometric Topology 57K33 (Primary), 57K10 (Secondary) In the search for transverse-universal knots in the standard contact structure on $\mathbb{S}^3$, 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 $(\mathbb{S}^3,ξ_{std})$ that are not transverse-universal, although they are universal in the topological sense. |
| title | On transverse-universality of twist knots |
| topic | Geometric Topology 57K33 (Primary), 57K10 (Secondary) |
| url | https://arxiv.org/abs/2402.12585 |