K-theory obstructions to the existence of vector fields

DOI10.1007/BF02392142zbMath0313.57012MaRDI QIDQ1220281

Johan L. Dupont

Publication date: 1974

Published in: Acta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Obstruction theory in algebraic topology (55S35) Characteristic classes and numbers in differential topology (57R20) Chain complexes in algebraic topology (55U15) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (6)

A GENERALIZATION OF THE ATIYAH–DUPONT VECTOR FIELDS THEORY ⋮ Fold maps on small dimensional manifolds with prescribed singular set ⋮ Join products and indices of \(k\)-fields over differentiable fiber bundles. ⋮ Obstruction theory on 8-manifolds ⋮ Obstruction theory on 7-manifolds ⋮ Corrigendum to: ``Spin\({}^h\) and further generalisations of spin

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• POWER OPERATIONS IN K-THEORY
• K-THEORY AND REALITY
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
• THE SPAN OF A MANIFOLD
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• Vector fields on spheres

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