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arXiv · 2105.13934

First Steps in Twisted Rabinowitz-Floer Homology

Yannis Bähni
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Abstract

Rabinowitz-Floer homology is the Morse-Bott homology in the sense of Floer associated with the Rabinowitz action functional introduced by Kai Cieliebak and Urs Frauenfelder in 2009. In our work, we consider a generalisation of this theory to a Rabinowitz-Floer homology of a Liouville automorphism. As an application, we show the existence of noncontractible periodic Reeb orbits on quotients of symmetric star-shaped hypersurfaces. In particular, our theory applies to lens spaces.

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Yannis Bähni. 2021-05-28. First Steps in Twisted Rabinowitz-Floer Homology. https://doi.org/10.4310/jsg.2023.v21.n1.a3

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