Symplectic fillings and star surgery

Princeton/IAS Symplectic Geometry Seminar
Topic:Symplectic fillings and star surgery
Speaker:Laura Starkston
Affiliation:University of Texas, Austin
Date:Thursday, September 25
Time/Room:11:30am - 12:30pm/S-101
Video Link:http://video.ias.edu/pisgs/2014/0925-LauraStarkston

Although the existence of a symplectic filling is well-understood for many contact 3-manifolds, complete classifications of all symplectic fillings of a particular contact manifold are more rare. Relying on a recognition theorem of McDuff for closed symplectic manifolds, we can understand this classification for certain Seifert fibered spaces with their canonical contact structures. In fact, even without complete classification statements, the techniques used can suggest constructions of symplectic fillings with interesting topology. These fillings can be used in cut-and-paste operations called star surgery to construct examples of exotic 4-manifolds.