It is shown that the -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.
@article{bwmeta1.element.bwnjournal-article-cmv70i1p25bwm,
author = {Martin \v Cadek and Ji\v r\'\i\ Van\v zura},
title = {On 2-distributions in 8-dimensional vector bundles over 8-complexes},
journal = {Colloquium Mathematicae},
volume = {70},
year = {1996},
pages = {25-40},
zbl = {0844.57026},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv70i1p25bwm}
}
Čadek, Martin; Vanžura, Jiří. On 2-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicae, Tome 70 (1996) pp. 25-40. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv70i1p25bwm/
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