Symplectic field theory and codimension-2 stable Hamiltonian submanifolds

Princeton/IAS Symplectic Geometry Seminar
Topic:Symplectic field theory and codimension-2 stable Hamiltonian submanifolds
Speaker:Richard Siefring
Affiliation:Ruhr-Universit├Ąt Bochum
Date:Thursday, April 20
Time/Room:10:45am - 11:45am/S-101
Video Link:https://video.ias.edu/puias/2017/0420-RichardSiefring

Motivated by the goal of establishing a "symplectic sum formula" in symplectic field theory, we will discuss the intersection behavior between punctured pseudoholomorphic curves and symplectic hypersurfaces in a symplectization. In particular we will show that the count of such intersections is always bounded from above by a finite, topologically-determined quantity even though the curve, the target manifold, and the symplectic hypersurface in question are all noncompact.