Subflexible symplectic manifolds

Princeton/IAS Symplectic Geometry Seminar
Topic:Subflexible symplectic manifolds
Speaker:Kyler Siegel
Affiliation:Stanford University
Date:Thursday, March 3
Time/Room:10:30am - 11:30am/S-101
Video Link:https://video.ias.edu/puias/2016/0303-Siegel

After recalling some recent developments in symplectic flexibility, I will introduce a class of open symplectic manifolds, called "subflexible", which are not flexible but become so after attaching some Weinstein handles. For example, the standard symplectic ball has a Weinstein subdomain with nontrivial symplectic topology. These are exotic symplectic manifolds with vanishing symplectic cohomology. I will explain how to study them using a deformed version of symplectic cohomology, and how this invariant can computed using the machinery of Fukaya categories and Lefschetz fibrations. This is partly based on joint work with Emmy Murphy.