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Reeb dynamics, holomorphic discs, and the 4-ball

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Kai Zehmisch
Thu, 04/11/2010 - 16:30 - 17:30
MPIM Lecture Hall

This is joint work with Hansjörg Geiges. Extending our work on Cerf's theorem we apply our moduli-theoretic version of Eliashberg-Hofer's filling-with-holomorphic-discs method to symplectic manifolds with cylindrical ends. Is the tight 3-sphere one of its positive ends we obtain existence results for contractible closed Reeb orbits, filling obstructions, and non-existence results for Liouville cobordisms.

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