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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 October 2023
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| In: |
Advances in mathematics
Year: 2023, Volume: 431, Pages: 1-130 |
| ISSN: | 1090-2082 |
| DOI: | 10.1016/j.aim.2023.109252 |
| Online Access: | 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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| Author Notes: | Peter Albers, Jungsoo Kang |
| Summary: | 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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| Item Description: | Online verfügbar: 17. August 2023 Gesehen am 23.11.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2082 |
| DOI: | 10.1016/j.aim.2023.109252 |