A Poincaré-Hopf type theorem for the de Rham invariant

DOI10.1090/S0273-0979-1980-14843-0zbMath0449.57007MaRDI QIDQ3896264

Daniel S. Chess

Publication date: 1980

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

de Rham invariant of 4k+1 dimensional orientable manifoldsrank of the 2-torsion in the middle dimensional homologysingularities of generic maps into 2-space

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Singularities of differentiable mappings in differential topology (57R45) Algebraic topology of manifolds (57N65) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (2)

On the de Rham invariant of a fibered \((4r+1)\)-dimensional orientable manifold ⋮ Fold cobordisms and a Poincaré-Hopf-type theorem for the signature

Cites Work

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• Elimination of cusps
• Semi-characteristics and cobordism
• Singularities of differentiable maps
• Cobordism and bundles over spheres
• A product formula for surgery obstructions

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