A Floer homology for exact contact embeddings
Symplectic Geometry
2007-10-05 v1
Abstract
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.
Cite
@article{arxiv.0710.0972,
title = {A Floer homology for exact contact embeddings},
author = {Kai Cieliebak and Urs Frauenfelder},
journal= {arXiv preprint arXiv:0710.0972},
year = {2007}
}
Comments
43 pages, 1 figure