The classifying space of the gauge group of an SO(3)-bundle over S-2

Authors
Bauer, S Crabb, MC Spreafico, M
Citation
S. Bauer et al., The classifying space of the gauge group of an SO(3)-bundle over S-2, P RS EDIN A, 131, 2001, pp. 767-783
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
131
Year of publication
2001
Part
4
Pages
767 - 783
Database
ISI
SICI code
0308-2105(2001)131:<767:TCSOTG>2.0.ZU;2-Q
Abstract
Stable homotopy decompositions of the classifying spaces of the gauge group s of principal SO(3) and U(2)-bundles over the sphere S-2 are obtained usin g a fibrewise stable splitting theorem for the loop space of an unreduced s uspension. The stable decomposition is related to a description of the inte gral cohomology ring.