Positive loops of loose Legendrians and applications

Tuesday, December 13, 2016 -
3:00pm to 4:00pm
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. 
Speaker: 
Guogang Liu
Nantes
Event Location: 
Fine Hall 224