Knotted solid tori in contact manifolds
Organizers
Speaker
Youlin Li
Time
Monday, March 17, 2025 3:30 PM - 4:30 PM
Venue
Shuangqing-B627
Abstract
In this talk, I will present several recent results concerning knotted solid tori in contact 3-manifolds. Specifically, I will discuss the width of a knot type and provide criteria for when it equals the maximal Thurston-Bennequin invariant, as well as when it exceeds it. Additionally, I will show that there are many "non-thickenable" tori in various knot types, a phenomenon previously observed only in the 3-sphere. This work is joint with John Etnyre and Bulent Tosun.