$K$-theory of projective Stiefel manifolds
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- by Nelza E. Barufatti and Derek Hacon PDF
- Trans. Amer. Math. Soc. 352 (2000), 3189-3209 Request permission
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 $X_{m,k}$.References
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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
- Received by editor(s): May 27, 1993
- Published electronically: March 27, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 3189-3209
- MSC (1991): Primary 55N15; Secondary 55R25, 57T15
- DOI: https://doi.org/10.1090/S0002-9947-00-02614-3
- MathSciNet review: 1709770