Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914998961307648 |
|---|---|
| author | Li, Youlin Zhou, Zhengyi |
| author_facet | Li, Youlin Zhou, Zhengyi |
| contents | We execute Avdek's algorithm to find many algebraically overtwisted and tight $3$-manifolds by contact $+1$ surgeries. In particular, we show that a contact $1/k$ surgery on the standard contact $3$-sphere along any positive torus knot with the maximum Thurston-Bennequin invariant yields an algebraically overtwisted and tight $3$-manifold, where $k$ is a positive integer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries Li, Youlin Zhou, Zhengyi Symplectic Geometry Geometric Topology We execute Avdek's algorithm to find many algebraically overtwisted and tight $3$-manifolds by contact $+1$ surgeries. In particular, we show that a contact $1/k$ surgery on the standard contact $3$-sphere along any positive torus knot with the maximum Thurston-Bennequin invariant yields an algebraically overtwisted and tight $3$-manifold, where $k$ is a positive integer. |
| title | Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2403.19982 |