A Floer homology for exact contact embeddings

Details A Floer homology for exact contact embeddings A Floer homology for exact contact embeddings

2007-10-04

arxiv.org/abs/0710.0972v1

Mathematics

Symplectic Geometry

43 pages, 1 figure

Scientific paper

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.

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