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arXiv · 1210.7947

Open books and the Weinstein conjecture

Max Dörner·Hansjörg Geiges·Kai Zehmisch
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Abstract

We show the existence of a contractible periodic Reeb orbit for any contact structure supported by an open book whose binding can be realised as a hypersurface of restricted contact type in a subcritical Stein manifold. A key ingredient in the proof is a higher-dimensional version of Eliashberg's theorem about symplectic cobordisms from a contact manifold to a symplectic fibration.

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Max Dörner, Hansjörg Geiges, Kai Zehmisch. 2012-10-30. Open books and the Weinstein conjecture. https://doi.org/10.1093/qmath%2Fhat055

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