Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence

被引：1
|
作者：
Albers, Peter [1 ]
Kang, Jungsoo [2 ]
机构：
[1] Heidelberg Univ, Math Inst, D-69120 Heidelberg, Germany
[2] Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea
来源：
ADVANCES IN MATHEMATICS | 2023年 / 431卷
基金：
新加坡国家研究基金会;
关键词：
Rabinowitz Floer homology; Negative line bundles; Floer Gysin exact sequence; COHERENT ORIENTATIONS; SYMPLECTIC HOMOLOGY; TRANSLATED POINTS; CONTACT; ORDERABILITY; COHOMOLOGY; COMPUTATIONS; GEOMETRY; INDEX;
D O I：
10.1016/j.aim.2023.109252
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：130
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