The computation of Stiefel-Whitney classes
| dc.creator | Guillot, Pierre | |
| dc.date | 2009-05-19 | |
| dc.date.accessioned | 2026-07-07T13:16:31Z | |
| dc.date.available | 2026-07-07T13:16:31Z | |
| dc.description | The cohomology ring of a finite group, with coefficients in a finite field, can be computed by a machine, as Carlson has showed. Here "compute" means to find a presentation in terms of generators and relations, and involves only the underlying (graded) ring. We propose a method to determine some of the extra structure: namely, Stiefel-Whitney classes and Steenrod operations. The calculations are explicitly carried out for about one hundred groups (the results can be consulted on the Internet). Next, we give an application: thanks to the new information gathered, we can in many cases determine which cohomology classes are supported by algebraic varieties. | |
| dc.description | To appear in Ann. Inst. Fourier | |
| dc.identifier | https://arxiv.org/abs/0905.3121 | |
| dc.identifier | http://arxiv.org/abs/0905.3121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230813 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20J06;57R20; 65K05; 14C15 | |
| dc.title | The computation of Stiefel-Whitney classes | |
| dc.type | text |