Geometry and Topology Seminar: "Cohomology and Morse theory on symplectic manifolds"

Abstract: On symplectic manifolds, there are intrinsincally symplectic cohomologies of differential forms that are analogous to the Dolbeault cohomology on complex manifolds.  These cohomologies are isomorphic to the de Rham cohomologies on odd-dimensional sphere bundles over the symplectic manifold.  In this talk, I will describe how we can use this sphere bundle perspective to define a novel Morse-type theory on symplectic manifolds associated with the symplectic cohomologies.  This is joint work with David Clausen and Xiang Tang.

Host: Michael Landry