3-Manifold Seminar: Legendrian invariants from grid homology

Seminar | November 21 | 11:10 a.m.-12:30 p.m. | 939 Evans Hall

 Luya Wang, UC Berkeley

 Department of Mathematics

Grid homology for knots and links provides combinatorial invariants corresponding to those from knot Floer homology. We will define grid homology and the Legendrian invariants coming from it, following the exposition in Grid Homology for Knots and Links by Stipsicz, Ozsváth, and Szabó. As applications, we will use these Legendrian invariants to give examples of Legendrian non-simple knots and a lower bound for the tau-invariant, which can be used to prove the Milnor conjecture for torus knots.