Hostname: page-component-5c6d5d7d68-tdptf Total loading time: 0 Render date: 2024-08-19T15:56:35.966Z Has data issue: false hasContentIssue false

On the cohomology of the classifying space of a certain gauge group

Published online by Cambridge University Press:  14 November 2011

Shuichi Tsukuda
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606-01, Japan

Abstract

The cohomology of the classifying space of the gauge group of the nontrivial SO(3) bundle over S2 has no torsion.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Atiyah, M. F. and Bott, R.. The Yang–Mills equations over Riemann surfaces. Proc. Roy. Soc. London Ser.A 308 (1982), 523615.Google Scholar
2Ruan, Y. B.. Reducible connections on non-simply connected 4-manifolds. In Topology, Geometry and Field Theory, eds Fukaya, K., Furuta, M., Kohno, T. and Kotschick, D. (Singapore: World Scientific, 1994).Google Scholar