论文标题
Rabinowitz的负线捆绑包和地板gysin序列
Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence
论文作者
论文摘要
本文涉及负线束的Rabinowitz Floer同源性。我们构建了Rabinowitz Floer同源性的精致版本,并研究其特性。特别是,我们为此新不变式构建了一个吉赛因型长序列,并讨论了对前期化空间的有序性问题的应用。我们还为普通的Rabinowitz Floer同源性构建了一个简短的序列,并提供了计算结果。
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.