Rabinowitz Floer homology: A survey

Abstract

Rabinowitz Floer homology is the semi-infinite dimensional Morse homology associated to the Rabinowitz action functional used in the pioneering work of Rabinowitz. Gradient flow lines are solutions of a vortex-like equation. In this survey article we describe the construction of Rabinowitz Floer homology and its applications to symplectic and contact topology, global Hamiltonian perturbations and the study of magnetic fields.

20 pages, 1 figure; v2: minor changes

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• Functors and Computations in Floer homology with Applications Part II
• Rabinowitz Floer homology: A survey
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• Cup-length estimates for leaf-wise intersections
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• Existence of leafwise intersection points in the unrestricted case
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Cited by in corpus (13)

• Rabinowitz Floer homology: A survey
• Translated points and Rabinowitz Floer homology
• Vanishing of Rabinowitz Floer homology on negative line bundles
• Generalized Rabinowitz Floer homology and coisotropic intersections
• First Steps in Twisted Rabinowitz-Floer Homology
• A compactness result for non-local unregularized gradient flow lines
• Invariance property of Morse homology on noncompact manifolds
• Positive loops and $L^{\infty }$-contact systolic inequalities
• On the Rabinowitz Floer homology of twisted cotangent bundles
• Künneth Formula in Rabinowitz Floer homology
• Topological Methods in the Quest for Periodic Orbits
• On magnetic leaf-wise intersections
• Computing the Rabinowitz Floer homology of tentacular hyperboloids