Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations

Details Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations

2010-01-17

arxiv.org/abs/1001.2920v1

Journal of Modern Dynamics, Volume 4, Issue 2, 2010, pp. 329 - 357

Mathematics

Symplectic Geometry

29 pages

Scientific paper

10.3934/jmd.2010.4.329

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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