A Floer homology for exact contact embeddings
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Publication:1011616
DOI10.2140/PJM.2009.239.251zbMATH Open1221.53112arXiv0710.0972OpenAlexW2002386602MaRDI QIDQ1011616
Author name not available (Why is that?)
Publication date: 8 April 2009
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0710.0972
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