\(KO\)-theory of flag manifolds (Q1766220)
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scientific article; zbMATH DE number 2139644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(KO\)-theory of flag manifolds |
scientific article; zbMATH DE number 2139644 |
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\(KO\)-theory of flag manifolds (English)
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28 February 2005
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The present paper investigates the real \(K\)-theory of flag manifolds which are the homogeneous spaces \(G(n)/T\) for \(G=U\), \(Sp\), \(SO\) and \(T\) the maximal torus of \(G(n)\). First the authors determine the \(s_q^2\)-cohomology of flag manifolds and after that, using the Atiyah-Hirzebruch spectral sequence, they obtain detailed formulas for the \(KO^*\)-groups of \(G(n)/T\) (see Table 1, p. 225).
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Atiyah-Hirzebruch spectral sequence
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flag manifolds
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KO-theory
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Poincaré series
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