Knotted solid tori in contact manifolds
Joint work with Youlin Li and Bulent Tosun,
Preprint 2025

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 $S^3$.

You may download a pdf version of this paper.

You may download the version of this paper at the arxiv.

Return to my home page.