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- W3106362017 abstract "The characteristic rank of a vector bundle $xi$ over a finite connected $CW$-complex $X$ is by definition the largest integer $k$, $0leq kleq mathrm{dim}(X)$, such that every cohomology class $xin H^j(X;mathbb Z_2)$, $0leq jleq k$, is a polynomial in the Stiefel-Whitney classes $w_i(xi)$. In this note we compute the characteristic rank of vector bundles over the Stiefel manifold $V_k(mathbb F^n)$, $mathbb F=mathbb R,mathbb C,mathbb H$." @default.
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- W3106362017 date "2012-11-22" @default.
- W3106362017 modified "2023-10-14" @default.
- W3106362017 title "Characteristic rank of vector bundles over Stiefel manifolds" @default.
- W3106362017 cites W1548253264 @default.
- W3106362017 doi "https://doi.org/10.1007/s00013-012-0454-3" @default.
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