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Spectral invariants in Rabinowitz-Floer homology and global Hamiltonian perturbations

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  • Spectral invariants were introduced in Hamiltonian Floer homology by Viterbo [26], Oh [20, 21], and Schwarz [24]. We extend this concept to Rabinowitz--Floer homology. As an application we derive new quantitative existence results for leafwise intersections. The importance of spectral invariants for this 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.
    Mathematics Subject Classification: Primary: 53D40; Secondary: 37J10, 58J05.


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