Informace o publikaci
Obstruction theory on 7-manifolds
| Autoři | |
|---|---|
| Rok publikování | 2020 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Manuscripta mathematica |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | Web page of the journal |
| Doi | http://dx.doi.org/10.1007/s00229-019-01165-2 |
| Klíčová slova | vector bundle; reduction of structure group; spinc structure; representations of U(2); obstruction; characteristic classes |
| Popis | 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). |