Existence of symplectic structures on torus bundles over surfaces

dc.creatorWalczak, Rafal
dc.date2003-10-17
dc.date2004-04-20
dc.date.accessioned2026-07-07T05:02:00Z
dc.date.available2026-07-07T05:02:00Z
dc.descriptionLet 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).
dc.descriptionChanged content; Latex; Comments are welcome
dc.identifierhttps://arxiv.org/abs/math/0310261
dc.identifierhttp://arxiv.org/abs/math/0310261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68889
dc.subjectSymplectic Geometry
dc.subject53D05, 57R57, 55R20
dc.titleExistence of symplectic structures on torus bundles over surfaces
dc.typetext

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