A Floer homology for exact contact embeddings

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In this paper we construct the Floer homology for an action functional which was introduced by Rabinowitz and prove a vanishing theorem. As an application, we show that there are no displaceable exact contact embeddings of the unit cotangent bundle of a sphere of dimension greater than three into a convex exact symplectic manifold with vanishing first Chern class. This generalizes Gromov's result that there are no exact Lagrangian embeddings of a sphere into a complex vector space.
43 pages, 1 figure

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Symplectic Geometry, 53D10, 53D40

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http://salesiana.dossiersoluciones.com/handle/123456789/139326

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.0972
 http://arxiv.org/abs/0710.0972

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arXiv