Local formulae for Stiefel-Whitney classes |
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Authors: | D. A. McLaughlin |
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Affiliation: | (1) Princeton University, 08544 Princeton, NJ, U.S.A. |
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Abstract: | We construct an explicit Čech cocycle representing the k-th Stiefel-Whitney class of a vector bundle. This construction involves only the transition functions of the bundle. We also give local formulae for the secondary Stiefel-Whitney classes. These may be useful in determining whether the Stiefel-Whitney numbers of a flat bundle are zero. |
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