Titelaufnahme
Titelaufnahme
- TitelHow to recognize a 4-ball when you see one
- Verfasser
- Enthalten inMünster Journal of Mathematics, H. Münster Journal of Mathematics, S. 525-554
- Erschienen
- SpracheEnglisch
- DokumenttypAufsatz in einer Zeitschrift
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Abstract
We apply the method of filling with holomorphic discs to a 4-dimensional symplectic cobordism with the standard contact 3-sphere as one convex boundary component. We establish the following dichotomy: either the cobordism is diffeomorphic to a ball, or there is a periodic Reeb orbit of quantifiably short period in the concave boundary of the cobordism. This allows us to give a unified treatment of various results concerning Reeb dynamics on contact 3-manifolds, symplectic fillability, the topology of symplectic cobordisms, symplectic nonsqueezing, and the nonexistence of exact Lagrangian surfaces in standard symplectic 4-space.
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