J-Curves in Degenerating Contact Manifolds

GEOMETRY/DYNAMICAL SYSTEMS
Topic:J-Curves in Degenerating Contact Manifolds
Speaker:Joel Fish
Affiliation:Stanford University
Date:Wednesday, January 26
Time/Room:4:00pm - 5:00pm/S-101

We will discuss some recent SFT-type compactness results for J-curves (i.e. pseudo-holomorphic curves) in the symplectization of a contact manifold which is stretched along a special hypersurface. This procedure is called "sideways stretching" and encompasses a variety of geometric degenerations of contact manifolds, including degenerating connected sums of contact manifolds as well as higher dimensional isotropic handle attaches.