Turkish Journal of Mathematics
Abstract
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.
DOI
-
Keywords
Bounded flag manifolds, Sq^2-homology, KO-theory, toric variety, stably complex structure.
First Page
447
Last Page
464
Recommended Citation
CİVAN, Y (2002). KO-groups of Bounded Flag Manifolds. Turkish Journal of Mathematics 26 (4): 447-464. https://doi.org/-
