Existence of symplectic structures on torus bundles over surfaces
Symplectic Geometry
2007-05-23 v3
Abstract
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).
Keywords
Cite
@article{arxiv.math/0310261,
title = {Existence of symplectic structures on torus bundles over surfaces},
author = {Rafal Walczak},
journal= {arXiv preprint arXiv:math/0310261},
year = {2007}
}
Comments
Changed content; Latex; Comments are welcome