纤维辛上同调与Leray-Serre谱序列
辛几何
2007-07-24 v2 代数拓扑
摘要
我们为一类具有闭辛底和无穷远处凸的纤维的辛纤维化定义了辛上同调群。对该纤维化关键的几何假设是一个让人联想到复向量丛中负曲率的负性性质。当底为辛非球面时，我们构造了一个收敛到全空间辛上同调群的Leray-Serre型谱序列，并用它证明了Weinstein猜想的新情形。
引用
@article{arxiv.math/0503193,
title = {Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence},
author = {Alexandru Oancea},
journal= {arXiv preprint arXiv:math/0503193},
year = {2007}
}
备注
70 pages, 1 figure. Major revision. The paper has been entirely reorganized for clarity. Sections 4 to 7, including the proofs of the main theorems, have undergone extensive rewriting. Several incorrect claims have been corrected. Rescaling of the period of the orbits in the Floer complex is no more needed. Appendix B has been replaced with Lemma 5.5.