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 non-trivial 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.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
