  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.
