Symplectic homology via Gromov-Witten theory

Princeton/IAS Symplectic Geometry Seminar
Topic:Symplectic homology via Gromov-Witten theory
Speaker:Luis Diogo
Affiliation:Columbia University
Date:Friday, February 13
Time/Room:1:30pm - 2:30pm/S-101
Video Link:http://video.ias.edu/puias/2015/0213-LuisDiogo

Symplectic homology is a very useful tool in symplectic topology, but it can be hard to compute explicitly. We will describe a procedure for computing symplectic homology using counts of pseudo-holomorphic spheres. These counts can sometimes be performed using Gromov-Witten theory. This method is applicable to a class of manifolds that are obtained by removing, from a closed symplectic manifold, a symplectic hypersurface of codimension 2. This is joint work with Samuel Lisi.