Contact manifolds with flexible fillings

Princeton/IAS Symplectic Geometry Seminar
Topic:Contact manifolds with flexible fillings
Speaker:Oleg Lazarev
Affiliation:Stanford University
Date:Tuesday, December 6
Time/Room:3:00pm - 4:00pm/Fine 224, Princeton University

In this talk, I will prove that all flexible Weinstein fillings of a given contact manifold have isomorphic integral cohomology. As an application, I will show that in dimension at least 5 any almost contact class that has an almost Weinstein filling has infinitely many different contact structures. Using similar methods, I will construct the first known infinite family of almost symplectomorphic Weinstein domains whose contact boundaries are not contactomorphic. These results are proven by studying Reeb chords of loose Legendrians and using positive symplectic homology.