$S^1$-等变辛同调的Gysin正合序列
辛几何
2013-12-23 v3 代数拓扑
摘要
我们利用Viterbo首次提出的Floer型构造，为具有接触边界的辛非球面流形定义了-等变辛同调。我们证明，它通过一个Gysin正合序列与通常的辛同调相关联。作为证明的一个重要组成部分，我们定义了一个参数化的辛同调版本，对应于由有限维光滑参数空间索引的哈密顿函数族。
引用
@article{arxiv.0909.4526,
title = {The Gysin exact sequence for $S^1$-equivariant symplectic homology},
author = {Frédéric Bourgeois and Alexandru Oancea},
journal= {arXiv preprint arXiv:0909.4526},
year = {2013}
}
备注
v3: 48 pages. Added Lemma 5.8 relating the long exact sequence of the cone and the Gysin sequence. Various other modifications throughout the text following referee's comments. This is the final version published in J. Topol. Anal