Characteristic number obstructions to fibering oriented and complex manifolds over surfaces

DOI10.1016/0040-9383(80)90012-9zbMath0463.57012OpenAlexW2033765488MaRDI QIDQ1153586

Steven M. Kahn, James C. Alexander

Publication date: 1980

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(80)90012-9

zbMATH Keywords

signatureStiefel-Whitney numbersclasses in oriented or complex cobordism which can be represented by the total space M of a smooth fibering over the surface

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77)

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On the de Rham invariant of a fibered \((4r+1)\)-dimensional orientable manifold ⋮ Characteristic numbers of manifold bundles over surfaces with highly connected fibers ⋮ A Poincaré-Hopf type theorem for the de Rham invariant ⋮ Fold cobordisms and a Poincaré-Hopf-type theorem for the signature

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