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Displaying similar documents to “Families of jacobian manifolds and characteristic classes of surface bundles. I”

On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1995)

Commentationes Mathematicae Universitatis Carolinae

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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.

Line bundles with c 1 ⁢ L 2 = 0 . Higher order obstruction

Stefano De Michelis (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study secondary obstructions to representing a line bundle as the pull-back of a line bundle on S 2 and we interpret them geometrically.