Lagrangian Rabinowitz Floer homology and twisted cotangent bundles

Mathematics – Symplectic Geometry

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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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