On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes
Martin Čadek, Jiří Vanžura (1995)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.