Mathematics – Symplectic Geometry
Scientific paper
2010-10-20
Mathematics
Symplectic Geometry
39 pages - computation now done for conormal bundles rather than just cotangent fibres, V4 - typo corrected
Scientific paper
We study the Lagrangian intersection theoretic version of Rabinowitz Floer homology, which we define for virtually contact $\pi_1$-injective hypersurfaces and certain $\pi_1$-injective virtually exact Lagrangians in symplectically aspherical geometrically bounded symplectic manifolds. By means of an Abbondandolo-Schwarz short exact sequence we then compute the Lagrangian Rabinowitz Floer homology of certain Mane supercritical hypersurfaces in twisted cotangent bundles, where the Lagrangians are conormal bundles.
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