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- W2127378085 abstract "Symplectic torus bundles ξ : T 2 → E → B are classified by the second cohomology group of B with local coefficients H1(T 2). For B a com- pact, orientable surface, the main theorem of this paper gives a necessary and sufficient condition on the cohomology class corresponding to ξ for E to admit a symplectic structure compatible with the symplectic bundle structure of ξ: namely, that it be a torsion class. The proof is based on a group-extension- theoretic construction of J. Huebschmann, 1981. A key ingredient is the notion of fibrewise-localization." @default.
- W2127378085 created "2016-06-24" @default.
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- W2127378085 date "2005-01-01" @default.
- W2127378085 modified "2023-09-27" @default.
- W2127378085 title "Symplectic torus bundles and group extensions" @default.
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