Positive loops of loose Legendrians and applications

Princeton/IAS Symplectic Geometry Seminar
Topic:Positive loops of loose Legendrians and applications
Speaker:Guogang Liu
Affiliation:Université de Nantes
Date:Tuesday, December 13
Time/Room:3:00pm - 4:00pm/Fine 224, Princeton University

In this talk, I will give a simple and geometrical proof of the following theorem from my thesis: Every loose Legendrian is in a positive loop amongst Legendrian embeddings. The idea is that we add wrinkles to a loose Legendrian and rotate the wrinkles positively then resolve the wrinkles without changing the isotopy class of the initial Legendrian. Finally, I will give some application, especially we can define a strong partial order on the universal cover of groups of contactomorphisms.