Geodesic
On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes
Colloquium Mathematicum, Tome 76 (1998) no. 2, pp. 213-228 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let ξ be an oriented 8-dimensional spin vector bundle over an 8-complex. In this paper we give necessary and sufficient conditions for ξ to have 4 linearly independent sections or to be a sum of two 4-dimensional spin vector bundles, in terms of characteristic classes and higher order cohomology operations. On closed connected spin smooth 8-manifolds these operations can be computed.
DOI : 10.4064/cm-76-2-213-228
Keywords: classifying spaces for groups, vector bundle, higher order cohomology operations, characteristic classes, Postnikov tower, distribution

Martin Čadek 1 ; Jiří Vanžura 1

1 
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Martin Čadek; Jiří Vanžura. On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicum, Tome 76 (1998) no. 2, pp. 213-228. doi: 10.4064/cm-76-2-213-228

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