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Nontriviality of the Gelfand-Fuchs characteristic classes for flat \(S^1\)-bundles

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Publication:799986
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zbMath0549.57014MaRDI QIDQ799986

Shigeyuki Morita

Publication date: 1984

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Euler classGodbillon-Vey classcharacteristic classes of foliated bundles in codimension 1foliations transverse to the fibres of a circle bundle


Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)


Related Items (3)

Families of Jacobian manifolds and characteristic classes of surface bundles. I ⋮ Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups ⋮ On powers of the Euler class for flat circle bundles







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