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The classifying space of the gauge group of an SO(3)-bundle over S2

Published online by Cambridge University Press:  12 July 2007

S. Bauer ,
M. C. Crabb  and
M. Spreafico
S. Bauer
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK
M. C. Crabb
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK
M. Spreafico
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK
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Abstract

Stable homotopy decompositions of the classifying spaces of the gauge groups of principal SO(3) and U(2)-bundles over the sphere S2 are obtained using a fibrewise stable splitting theorem for the loop space of an unreduced suspension. The stable decomposition is related to a description of the integral cohomology ring.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 4 , August 2001 , pp. 767 - 783
Copyright
Copyright © Royal Society of Edinburgh 2001

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