Publication details
Obstruction theory on 7-manifolds
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Manuscripta mathematica |
| MU Faculty or unit | |
| Citation | |
| web | Web page of the journal |
| Doi | http://dx.doi.org/10.1007/s00229-019-01165-2 |
| 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). |