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Topology/Geometry Seminar

Symplectic fillings of asymptotically dynamically convex manifolds

Zhengyi Zhou (IAS)

Location:  Hill 705
Date & time: Tuesday, 24 September 2019 at 3:50PM - 4:40PM

Abstract:  One natural question in symplectic topology is understanding symplectic fillings of a given contact manifold. In this talk, I will introduce a Floer theoretic method of studying a class of contact manifolds admitting only the trivial augmentation, called asymptotically dynamically convex (ADC) manifolds. I will construct various structure maps and explain why they are independent of fillings for ADC manifolds. Such invariance can be used to answer both existence and uniqueness questions of symplectic fillings.

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