The classifying space of the gauge group of an SO(3)-bundle over S2
Published online by Cambridge University Press: 12 July 2007
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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