A FLOER HOMOLOGY FOR EXACT CONTACT EMBEDDINGS

@article{Cieliebak2007AFH,
  title={A FLOER HOMOLOGY FOR EXACT CONTACT EMBEDDINGS},
  author={Kai Cieliebak and Urs Frauenfelder},
  journal={Pacific Journal of Mathematics},
  year={2007},
  volume={239},
  pages={251-316}
}
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 Cn. 
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102 Citations
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102 Citations

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