Geodesic
On 2-distributions in 8-dimensional vector bundles over 8-complexes
Colloquium Mathematicum, Tome 70 (1996) no. 1, pp. 25-40

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown that the $ℤ_2$-index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
DOI : 10.4064/cm-70-1-25-40
Keywords: secondary cohomology operation, classifying spaces for groups, vector bundle, characteristic classes, Postnikov tower, distribution

Martin Čadek 1 ; Jiří Vanžura 1

1 
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Martin Čadek; Jiří Vanžura. On 2-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicum, Tome 70 (1996) no. 1, pp. 25-40. doi: 10.4064/cm-70-1-25-40

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