Symplectic fillings and star surgery

Symplectic fillings and star surgery

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Laura Starkson , University of Texas at Austin
IAS Room S-101

This is a joint Topology-Symplectic Geometry seminar.  Please note special time and location.    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.