A Floer homology for exact contact embeddings

• Autores: Kai Cieliebak, Urs Adrian Frauenfelder
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 239, Nº 2, 2009, págs. 251-316
• Idioma: inglés
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• Resumen

  • 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.