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Mathematics

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Journal

2002

Bounded flag manifolds

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Ko-Groups Of Bounded Flag Manifolds, Yusuf Ci̇van Jan 2002

Ko-Groups Of Bounded Flag Manifolds, Yusuf Ci̇van

Turkish Journal of Mathematics

We exhibit an appropriate suspension of bounded flag manifolds as a wedge sum of Thom complexes of associated complex line bundles. We use the existence of such a splitting to assist our computation of real and complex K-groups. Moreover, we compute the Sq^2-homology of bounded flag manifolds to make use of relevant Atiyah-Hirzebruch spectral sequence of KO-theory.