The Künneth formula in Floer homology for manifolds with restricted contact type boundary |
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Authors: | Alexandru Oancea |
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Institution: | 1. Department of Mathematics, ETH, R?mistrasse 101, 8092, Zürich, Switzerland
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Abstract: | We prove the Künneth formula in Floer (co)homology for manifolds with restricted contact type boundary. We use Viterbo's definition
of Floer homology, involving the symplectic completion by adding a positive cone over the boundary. The Künneth formula implies
the vanishing of Floer (co)homology for subcritical Stein manifolds. Other applications include the Weinstein conjecture in
certain product manifolds, obstructions to exact Lagrangian embeddings, existence of holomorphic curves with Lagrangian boundary
condition, as well as symplectic capacities.
Supported by ENS Lyon, école Polytechnique (Palaiseau) and ETH (Zürich). |
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Keywords: | 53D40 37J45 32Q28 |
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