Strong symplectic fillings and holomorphic curves

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• Chris Wendl, ETH Zurich
• Wednesday 03 December 2008, 16:00-17:00
• MR 13.

If you have a question about this talk, please contact Ivan Smith.

A 3 -dimensional contact manifold is called strongly fillable if it is the convex boundary of a symplectic 4-manifold, and it is called Stein fillable if it bounds a Stein domain. I will demonstrate how one can use punctured J-holomorphic curves in convex symplectic manifolds to answer the following types of questions: (1) What kinds of contact manifolds are not fillable? (2) What kinds of manifolds admit strong fillings but not Stein fillings? (3) If a manifold is fillable, what do all its (strong / Stein) fillings look like? (4) What is the group of compactly supported symplectomorphisms on a symplectic manifold with a convex end?

This talk is part of the Differential Geometry and Topology Seminar series.

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