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HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS

Part of: Homotopy theory Maps and general types of spaces defined by maps Fiber spaces and bundles

Published online by Cambridge University Press:  20 June 2018

TSELEUNG SO
TSELEUNG SO*
Affiliation:
Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom e-mail: tls1g14@soton.ac.uk
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Abstract

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Let G be a simple, simply connected, compact Lie group, and let M be an orientable, smooth, connected, closed 4-manifold. In this paper, we calculate the homotopy type of the suspension of M and the homotopy types of the gauge groups of principal G-bundles over M when π1(M) is (1) ℤ*m, (2) ℤ/prℤ, or (3) ℤ*m*(*nj=1ℤ/prjjℤ), where p and the pj's are odd primes.

MSC classification

Primary: 54C35: Function spaces 55P40: Suspensions
Secondary: 55R10: Fiber bundles
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 2 , May 2019 , pp. 349 - 371
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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