Knotted solid tori in contact manifolds
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912240027828224 |
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| author | Etnyre, John Li, Youlin Tosun, Bülent |
| author_facet | Etnyre, John Li, Youlin Tosun, Bülent |
| contents | In this note we study solid tori in contact manifolds. Specifically, we study the width of a knot type and give criteria for when it is equal to the maximal Thurston-Bennequin invariant, and when it is larger. We also prove there are many ``non-thickenable" tori in many knot types. These had previously only been observed in $S^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Knotted solid tori in contact manifolds Etnyre, John Li, Youlin Tosun, Bülent Geometric Topology Symplectic Geometry In this note we study solid tori in contact manifolds. Specifically, we study the width of a knot type and give criteria for when it is equal to the maximal Thurston-Bennequin invariant, and when it is larger. We also prove there are many ``non-thickenable" tori in many knot types. These had previously only been observed in $S^3$. |
| title | Knotted solid tori in contact manifolds |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2502.15165 |