Positive loops of loose Legendrians and applications
Positive loops of loose Legendrians and applications
-
Guogang Liu , Nantes
Fine Hall 224
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 oder on the universal cover of groups of contactomorphisms.