Fibered symplectic cohomology and the Leray-Serre spectral sequence
Fibered symplectic cohomology and the Leray-Serre spectral sequence
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纤维辛上同调和 Leray-Serre 谱序列
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发表时间：
2005
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通讯作者：
A. Oancea
中科院分区：
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作者：
A. Oancea
我们定义了一类具有闭辛基和无穷凸纤维的辛纤维的辛上同调群。关于纤维的关键几何假设是一个负性性质，使人联想到复向量丛中的负曲率。当基是辛非球面时，我们构造了一个收敛于全空间的辛上同调群的Leray-Serre型谱序列，并用它证明了Weinstein猜想的新情形。
We define Symplectic cohomology groups for a class of symplectic fibrations with closed symplectic base and convex at infinity fiber. The crucial geometric assumption on the fibration is a negativity property reminiscent of negative curvature in complex vector bundles. When the base is symplectically aspherical we construct a spectral sequence of Leray-Serre type converging to the Symplectic cohomology groups of the total space, and we use it to prove new cases of the Weinstein conjecture.