A REMARK ON THE STABLE REAL FORMS OF COMPLEX VECTOR BUNDLES OVER MANIFOLDS

DOI10.1017/S0004972717000132zbMath1453.19009OpenAlexW2592013141MaRDI QIDQ4975594

Huijun Yang

Publication date: 7 August 2017

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

Full work available at URL: https://doi.org/10.1017/s0004972717000132

zbMATH Keywords

complexificationAtiyah-Hirzebruch spectral sequencedifferentiable Riemann-Roch theoremstable real form

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Topology of vector bundles and fiber bundles (57R22) Geometric applications of topological (K)-theory (19L64) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

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• On complexifications of differentiable manifolds
• Complexifications of nonnegatively curved manifolds
• A note on stable complex structures on real vector bundles over manifolds
• The stable homotopy of the classical groups
• \(K_ 0\)-groups of projective spaces
• Poincaré complexes. I
• Characteristic Classes. (AM-76)
• Riemann-Roch theorems for differentiable manifolds
• Algebraic topology -- homology and homotopy.

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