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Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations (1001.2920v1)
Published 17 Jan 2010 in math.SG and math.DS
Abstract: Spectral invariant were introduced in Hamiltonian Floer homology by Viterbo, Oh, and Schwarz. We extend this concept to Rabinowitz Floer homology. As an application we derive new quantitative existence results for leaf-wise intersections. The importance of spectral invariants for the presented application is that spectral invariants allow us to derive existence of critical points of the Rabinowitz action functional even in degenerate situations where the functional is not Morse.
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