Existence of symplectic structures on torus bundles over surfaces

Details Existence of symplectic structures on torus bundles over surfaces Existence of symplectic structures on torus bundles over surfaces

2003-10-17

arxiv.org/abs/math/0310261v3

Mathematics

Symplectic Geometry

Changed content; Latex; Comments are welcome

Scientific paper

Let E be the total space of a locally trivial torus bundle over the surface
\Sigma_g of genus g>1. Using the Seiberg--Witten theory and spectral sequences
we prove that E carries a symplectic structure if and only if the homology
class of the fiber [T^2] is nonzero in H_2(E,R).

Affiliated with

Also associated with

No associations

Rating

Existence of symplectic structures on torus bundles over surfaces 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 Existence of symplectic structures on torus bundles over surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of symplectic structures on torus bundles over surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440142