Naturality of Legendrian LOSS invariant under positive contact surgery

Geometry Topology Seminar
Monday, November 21, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Shunyu Wan – University of Virginia –
Jonathan Simone

Given a Legendrian knot L in a contact 3 manifold, one can associate a so-called LOSS invariant to L which lives in the knot Floer homology group. We proved that the LOSS invariant is natural under the positive contact surgery. In this talk I will review some background and definition, try to get the ideal of the proof and talk about the application which is about distinguishing Legendrian and Transverse knot.