Publication details

Obstruction theory on 7-manifolds


ČADEK Martin CRABB Michael SALAČ Tomáš

Year of publication 2020
Type Article in Periodical
Magazine / Source Manuscripta mathematica
MU Faculty or unit

Faculty of Science

Web Web page of the journal
Keywords vector bundle; reduction of structure group; spinc structure; representations of U(2); obstruction; characteristic classes
Description The paper gives a uniform, self-contained, and direct approach to a variety of obstruction-theoretic problems on manifolds of dimensions 7 and 6. We give necessary and sufficient cohomological criteria for the existence of various G-structures on vector bundles over such manifolds, especially using low dimensional representations of U(2).

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