The classifying space of the gauge group of an SO(3)-bundle over S2
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Published:2001-08
Issue:4
Volume:131
Page:767-783
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Author:
Bauer S.,Crabb M. C.,Spreafico M.
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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Cited by
3 articles.
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