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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$K$-theory of projective Stiefel manifolds


Authors: Nelza E. Barufatti and Derek Hacon
Journal: Trans. Amer. Math. Soc. 352 (2000), 3189-3209
MSC (1991): Primary 55N15; Secondary 55R25, 57T15
Published electronically: March 27, 2000
MathSciNet review: 1709770
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Abstract:

Using the Hodgkin spectral sequence we calculate $K^{*}(X_{m,k})$, the complex $K$-theory of the projective Stiefel manifold $X_{m,k}$, for $mk$even. For $mk$ odd, we are only able to calculate $K^{0}(X_{m,k})$, but this is sufficient to determine the order of the complexified Hopf bundle over $ X_{m,k}$.


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Additional Information

Nelza E. Barufatti
Affiliation: Instituto Politécnico, UERJ, Caixa Postal 97282, CEP: 28601-970, Nova Friburgo, RJ, Brasil
Email: nelza@iprj.uerj.br

Derek Hacon
Affiliation: PUC-RJ, Departamento de Matemática, R. Marquês de São Vicente, 225, Gávea, Rio de Janeiro, RJ, Brasil, CEP:22453-900
Email: derek@mat.puc-rio.br

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02614-3
PII: S 0002-9947(00)02614-3
Received by editor(s): May 27, 1993
Published electronically: March 27, 2000
Article copyright: © Copyright 2000 American Mathematical Society