扭曲Rabinowitz-Floer同调的第一步

Pub Date : 2021-05-28 DOI:10.4310/JSG.2023.v21.n1.a3

Yannis Bahni

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引用次数: 1

摘要

Rabinowitz-Floer同源性是指与Kai Cieliebak和Urs Frauenfelder于2009年提出的Rabinowitz动作泛函相关的flower意义上的Morse-Bott同源性。在我们的工作中，我们考虑将这个理论推广到一个Liouville自同构的Rabinowitz-Floer同调。作为一个应用，我们证明了对称星形超曲面商上不可收缩周期Reeb轨道的存在性。我们的理论特别适用于镜头空间。

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First steps in twisted Rabinowitz–Floer homology

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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