Transverse Knots Via Braids

GEOMETRIC PDE SEMINAR
Topic:Transverse Knots Via Braids
Speaker:Keiko Kawamuro
Affiliation:Rice University and Member, School of Mathematics
Date:Tuesday, April 28
Time/Room:2:00pm - 3:00pm/S-101

In this talk, I will discuss several topics related to transverse knots in contact 3-manifolds. I will introduce a conjecture on the maximal self-linking number of a topological knot in the standard contact 3-sphere. I will show how to apply braid theory, the HOMFLY polynomial, and the Khovanov-Rozansky homology in order to address the conjecture. I will further discuss the computation of the self-linking number using open-book decomposition and its application to contact geometry. Talk will be accessible to non-topologists.