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arXiv · 1010.1649

Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations

Youngjin Bae·Urs Frauenfelder
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Abstract

Will Merry computed Rabinowitz Floer homology above Mane's critical value in terms of loop space homology by establishing an Abbondandolo-Schwarz short exact sequence. The purpose of this article is to provide an alternative proof of Merry's result. We construct a continuation homomorphism for symplectic deformations which enables us to reduce the computation to the untwisted case. Our construction takes advantage of a special version of the isoperimetric inequality which above Mane's critical value holds true.

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Youngjin Bae, Urs Frauenfelder. 2014-02-13. Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations. https://doi.org/10.1017/s0305004111000569

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