Knotted solid tori in contact manifolds

John Etnyre; Youlin Li; Bülent Tosun

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arXiv · 2502.15165

Knotted solid tori in contact manifolds

John Etnyre·Youlin Li·Bülent Tosun

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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 $S^3$.

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John Etnyre, Youlin Li, Bülent Tosun. 2025-02-21. Knotted solid tori in contact manifolds. https://arxiv.org/abs/2502.15165

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