Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence
arXiv:2207.07179 · doi:10.1016/j.aim.2023.109252
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.
122 pages, 3 figures