\(KO\)-theory of exceptional flag manifolds

DOI10.1215/21562261-2265923zbMath1277.55002OpenAlexW2052451182MaRDI QIDQ371228

Daisuke Kishimoto, Akihiro Ohsita

Publication date: 30 September 2013

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1376917629

zbMATH Keywords

real \(K\)-theoryflag manifoldsAtiyah-Hirzebruch spectral sequenceWitt groupsexceptional Lie groupsgeneralized cohomology

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Topological (K)-theory (55N15) Generalized cohomology and spectral sequences in algebraic topology (55T25)

Related Items (2)

Differential KO-theory: constructions, computations, and applications ⋮ KO-rings of full flag varieties

Cites Work

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• Witt groups of complex cellular varieties
• \(KO\)-theory of complex Stiefel manifolds
• Squaring operations in the 4-connective fibre spaces over the classifying spaces of the exceptional Lie groups
• KO-theory of Hermitian symmetric spaces
• KO-theory of complex Grassmannians
• On the cohomology ring of some homogeneous spaces
• On the cohomology of irreducible symmetric spaces of exceptional type
• \(KO\)-theory of flag manifolds
• The integral cohomology ring of \(F_4/T\) and \(E_6/T\)
• Witt groups of algebraic groups
• \(K_ 0\)-groups of projective spaces
• A note on the Witt group and theKO-theory of complex Grassmannians
• K-THEORY AND REALITY

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