The Classifying Space of the Gauge Group of an SO(3)-Bundle over S2

Michael Charles Crabb; S. Bauer; M. Spreafico

The Classifying Space of the Gauge Group of an SO(3)-Bundle over S²

Michael Charles Crabb, S. Bauer, M. Spreafico

Research output: Contribution to journal › Article › peer-review

Abstract

Stable homotopy decompositions of the classifying spaces of the gauge groups of principal SO(3) and U(2)-bundles over the sphere S-2 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.

Original language	English
Pages (from-to)	767-783
Number of pages	16
Journal	Proceedings of the Royal Society of Edinburgh A
Volume	131
Publication status	Published - 2001

Cite this

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title = "The Classifying Space of the Gauge Group of an SO(3)-Bundle over S2",

abstract = "Stable homotopy decompositions of the classifying spaces of the gauge groups of principal SO(3) and U(2)-bundles over the sphere S-2 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.",

author = "Crabb, {Michael Charles} and S. Bauer and M. Spreafico",

year = "2001",

language = "English",

volume = "131",

pages = "767--783",

journal = "Proceedings of the Royal Society of Edinburgh A",

issn = "0308-2105",

publisher = "Cambridge University Press",

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TY - JOUR

T1 - The Classifying Space of the Gauge Group of an SO(3)-Bundle over S2

AU - Crabb, Michael Charles

AU - Bauer, S.

AU - Spreafico, M.

PY - 2001

Y1 - 2001

N2 - Stable homotopy decompositions of the classifying spaces of the gauge groups of principal SO(3) and U(2)-bundles over the sphere S-2 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.

AB - Stable homotopy decompositions of the classifying spaces of the gauge groups of principal SO(3) and U(2)-bundles over the sphere S-2 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.

M3 - Article

SN - 0308-2105

VL - 131

SP - 767

EP - 783

JO - Proceedings of the Royal Society of Edinburgh A

JF - Proceedings of the Royal Society of Edinburgh A

ER -

The Classifying Space of the Gauge Group of an SO(3)-Bundle over S2

Abstract

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The Classifying Space of the Gauge Group of an SO(3)-Bundle over S²