In this joint work with Alexandru Oancea, we construct an S^1-equivariant version of symplectic homology. We then describe various algebraic structures as well as a simpler computational approach for this invariant. Finally, we sketch the proof that this invariant coincides with (linearized) contact homology. The advantage of the first invariant is that transversality results can be established for large classes of symplectic manifolds, while for contact homology, the corresponding results would rely on the recent theory of polyfolds.
Geometry-Topology Seminar
Thursday, November 3, 2011 - 4:00pm
Frederic Bourgeois
Universite Libre de Bruxelles