Knotted solid tori in contact manifolds
Geometric Topology
2025-02-24 v1 Symplectic Geometry
Abstract
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 .
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Cite
@article{arxiv.2502.15165,
title = {Knotted solid tori in contact manifolds},
author = {John Etnyre and Youlin Li and Bülent Tosun},
journal= {arXiv preprint arXiv:2502.15165},
year = {2025}
}
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17 pages