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Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations

Published online by Cambridge University Press:  05 September 2011

YOUNGJIN BAE  and
URS FRAUENFELDER
YOUNGJIN BAE
Affiliation:
Department of Mathematics and Research Institute of Mathematics, Seoul National University, San 56-1 Sillim-Dong, Gwanak-Gu, Seoul 151-747, Korea. e-mail: jini0919@snu.ac.kr and frauenf@snu.ac.kr
URS FRAUENFELDER
Affiliation:
Department of Mathematics and Research Institute of Mathematics, Seoul National University, San 56-1 Sillim-Dong, Gwanak-Gu, Seoul 151-747, Korea. e-mail: jini0919@snu.ac.kr and frauenf@snu.ac.kr
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Abstract

Will J. Merry computed Rabinowitz Floer homology above Mañé's critical value in terms of loop space homology in [14] by establishing an Abbondandolo–Schwarz short exact sequence. The purpose of this paper 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 Mañé's critical value holds true.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 3 , November 2011 , pp. 471 - 502
Copyright
Copyright © Cambridge Philosophical Society 2011

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