Positive loops of loose Legendrians and applications

Positive loops of loose Legendrians and applications

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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.