تقرير
First Steps in Twisted Rabinowitz-Floer Homology
| العنوان: | First Steps in Twisted Rabinowitz-Floer Homology |
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| المؤلفون: | Bähni, Yannis |
| المصدر: | Journal of Symplectic Geometry Volume 21 (2023) Number 1 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Symplectic Geometry |
| الوصف: | 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. Comment: 40 pages, 5 figures. Fixed typos and exposition. Improved main result to hold for all even-dimensional lens spaces. Submitted to the Journal of Symplectic Geometry |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.4310/JSG.2023.v21.n1.a3 |
| URL الوصول: | http://arxiv.org/abs/2105.13934 |
| رقم الأكسشن: | edsarx.2105.13934 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.4310/JSG.2023.v21.n1.a3 |
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