Existence of symplectic structures on torus bundles over surfaces

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Let E be the total space of a locally trivial torus bundle over the surface Σ_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).
Changed content; Latex; Comments are welcome

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Symplectic Geometry, 53D05, 57R57, 55R20

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http://salesiana.dossiersoluciones.com/handle/123456789/68889

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310261
 http://arxiv.org/abs/math/0310261

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arXiv