Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence

Details Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence

2005-03-10

arxiv.org/abs/math/0503193v2

Mathematics

Symplectic Geometry

70 pages, 1 figure. Major revision. The paper has been entirely reorganized for clarity. Sections 4 to 7, including the proofs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fibered Symplectic Cohomology and the Leray-Serre Spectral Sequence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685509