Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence (2207.07179v1)

Published 14 Jul 2022 in math.SG

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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