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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

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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