Vector fields with finite singularities

DOI10.1007/BF02392157zbMath0233.57010MaRDI QIDQ2551286

Johan L. Dupont, Michael F. Atiyah

Publication date: 1972

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

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Vector fields, frame fields in differential topology (57R25) Characteristic classes and numbers in differential topology (57R20) Topology of vector bundles and fiber bundles (57R22)

Related Items (25)

Vector bundles over \((8k+1)\)-dimensional manifolds ⋮ A GENERALIZATION OF THE ATIYAH–DUPONT VECTOR FIELDS THEORY ⋮ Join product of generators of homotopy groups of the Stiefel manifolds of 5-frames and 6-frames ⋮ Cobordism span of a manifold and elliptic genera ⋮ On theKO_ℤ/2-Euler class, I ⋮ On the KO_ℤ/2-Euler class, II ⋮ Differential topology of semimetals ⋮ The Homotopy Thom Class of a Spherical Fibration ⋮ Quaternionic structures ⋮ Fold maps on small dimensional manifolds with prescribed singular set ⋮ Framefields and nondegenerate singularities ⋮ Räume normierter Bilinearformen und Cliffordstrukturen ⋮ Join products and indices of \(k\)-fields over differentiable fiber bundles. ⋮ On 4-manifolds and span-related numbers for CAT manifolds ⋮ On 5-manifolds admitting rank two distributions of Cartan type ⋮ Nonstable and stable monomorphisms of vector bundles ⋮ Obstruction theory on 7-manifolds ⋮ K-theory obstructions to the existence of vector fields ⋮ The Smale invariants of an immersed projective space ⋮ Cobordisms in problems of algebraic topology ⋮ Generic immersions and totally real embeddings ⋮ Vector bundles over (8k + 5)-dimensional manifolds ⋮ Äquivariante 2-Felder auf Mannigfaltigkeiten mit Involution ⋮ A note on the Kervaire semi-characteristic ⋮ Corrigendum to: ``Spin\({}^h\) and further generalisations of spin

Cites Work

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• Clifford modules
• The index of elliptic operators. I
• The index of elliptic operators. III
• Fields of tangent 2-planes on even-dimensional manifolds
• Elliptische Differentialoperatoren und Ganzzahligkeitssätze für charakteristische Zahlen
• Index theory for skew-adjoint Fredholm operators
• The index of elliptic operators. IV, V
• On manifolds satisfying \(w_ 1^ 2=0\)
• Equivariant \(K\)-theory and completion
• The Intrinsic Join: A Study of the Homotopy Groups of Stiefel Manifolds
• Spaces Associated with Stiefel Manifolds
• Thom Complexes
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
• Vector fields on manifolds
• Vector fields on spheres

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