Joint IAS/Princeton University Symplectic Geometry Seminar

I will motivate the consideration of a special class of odd dimensional sphere bundles over symplectic manifolds. These bundles give a novel topological perspective for symplectic geometry. In particular, the symplectic A-infinity algebra recently found by Tsai-Tseng-Yau turns out to be equivalent to the standard de Rham differential graded algebra of forms on the sphere bundles. The bundle picture also points to an intersection theory of coisotropic/isotropic chains on symplectic manifolds. This talk is based on joint work with Hiro Tanaka.