Publication details
Obstruction theory on 8-manifolds
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Manuscripta Mathematica |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.springerlink.com/content/km887775657x4821/?p=c8e1189214394ca5aa586ba53e457947&pi=2 |
| Field | General mathematics |
| Keywords | Reduction of the structure group; complex structure; quaternionic structure |
| Description | This paper gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. It gives necessary and sufficient cohomological criteria for the existence of complex and quaternionic structures on eight-dimensional vector bundles and for the reduction of the structure group of such bundles to U(3) by the homomorphism from U(3) to O(8) given by the Lie algebra representation of PU(3). |
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