10/11/2007

Tim Perutz
Columbia University

Spherically-fibered coisotropic submanifolds

The title refers to a class of submanifolds of symplectic manifolds which arise in connection with "complex Morse-Bott" functions. I'll talk about ongoing work concerning two general exact triangles in symplectic Floer homology, both associated with such submanifolds: a "Gysin" sequence and a "fibered Dehn twist" sequence. Motivating examples come from a symplectic model for Seiberg-Witten Floer theory, in which these triangles appear as counterparts of a connected sum formula and of the surgery triangle, respectively.