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Real characteristic classes of certain vector \(G\)-bundles and residues. (Classes caractéristiques réelles de certaines \(G\)-fibrés vectoriels et résidus.) (French) Zbl 0918.57008

The author uses the Čech-de Rham complex to describe a Thom isomorphism and deduce some residues for real characteristic classes of vector bundles acted on by a compact Lie group.

MSC:

57R20 Characteristic classes and numbers in differential topology
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
57R22 Topology of vector bundles and fiber bundles
57S15 Compact Lie groups of differentiable transformations
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