On the de Rham invariant of a fibered \((4r+1)\)-dimensional orientable manifold

DOI10.1007/BF01450538zbMath0444.57015MaRDI QIDQ1144819

James C. Alexander

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163523

zbMATH Keywords

Stiefel-Whitney numberde Rham invariant of a fibered (4r+1) dimensional manifoldodd- dimensional orientable manifoldrank of the Bockstein

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Fiber bundles in algebraic topology (55R10) Primary cohomology operations in algebraic topology (55S05)

Cites Work

• Characteristic number obstructions to fibering oriented and complex manifolds over surfaces
• The transversality characteristic class and linking cycles in surgery theory
• Semi-characteristics and cobordism
• A Poincaré-Hopf type theorem for the de Rham invariant
• A product formula for surgery obstructions

This page was built for publication: On the de Rham invariant of a fibered \((4r+1)\)-dimensional orientable manifold