S^1-equivariant Symplectic Homology and Linearized Contact Homology

Frédéric Bourgeois

We define an S^1-equivariant version of symplectic homology via various equivalent approaches. We show that, over rational coefficients, S^1-equivariant symplectic homology is isomorphic to linearized contact homology. This is joint work with Alexandru Oancea.

http://scgp.stonybrook.edu/video_portal/video.php?id=183

Simons- Program: Low Dimensional Topology (Fall 2012)