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arXiv · 2207.07179

Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence

Peter Albers·Jungsoo Kang
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Abstract

This article is concerned with the Rabinowitz Floer homology of negative line bundles. We construct a refined version of Rabinowitz Floer homology and study its properties. In particular, we build a Gysin-type long exact sequence for this new invariant and discuss an application to the orderability problem for prequantization spaces. We also construct a short exact sequence for the ordinary Rabinowitz Floer homology and provide computational results.

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Peter Albers, Jungsoo Kang. 2022-07-14. Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence. https://doi.org/10.1016/j.aim.2023.109252

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