𝐾-theory of projective Stiefel manifolds

Barufatti, Nelza; Hacon, Derek

doi:10.1090/S0002-9947-00-02614-3

$K$-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 $X_{m,k}$.

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