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.