Rabinowitz Floer homology: A survey

Details Rabinowitz Floer homology: A survey Rabinowitz Floer homology: A survey

2010-01-24

arxiv.org/abs/1001.4272v2

Mathematics

Symplectic Geometry

20 pages, 1 figure; v2: minor changes

Scientific paper

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.

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