Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence

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...

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Hauptverfasser: Albers, Peter (VerfasserIn) , Kang, Jungsoo (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 15 October 2023
In: Advances in mathematics
Year: 2023, Jahrgang: 431, Pages: 1-130
ISSN:1090-2082
DOI:10.1016/j.aim.2023.109252
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aim.2023.109252
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S000187082300395X
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Verfasserangaben:Peter Albers, Jungsoo Kang
Beschreibung
Zusammenfassung: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.
Beschreibung:Online verfügbar: 17. August 2023
Gesehen am 23.11.2023
Beschreibung:Online Resource
ISSN:1090-2082
DOI:10.1016/j.aim.2023.109252