缅北强奸

Event

Michael Usher , UGA

Friday, September 20, 2019 14:00to15:00
Room 5448, Pav. Andr茅-Aisenstadt, CA

Title:聽Local rigidity and C^0 symplectic and contact topology聽

Abstract:I will explain how coisotropic submanifolds of symplectic manifolds can be distinguished among all submanifolds by a criterion ("local rigidity") related to the Hofer energy necessary to disjoin open sets from them.聽 This criterion is invariant under symplectic homeomorphisms, leading to a simplified proof of the Humiliere-Leclercq-Seyfaddini theorem that a symplectic-homeomorphic image of a coisotropic submanifold that is smooth is coisotropic.聽 Moreover much of this picture extends to the contact context, allowing one to extend the class of C^0-limits of contactomorphisms which are known to map Legendrian submanifolds to Legendrian submanifolds.

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