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A note on the homotopy type of certain gauge groups

Published online by Cambridge University Press:  14 November 2011

Akira Kono
Akira Kono
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606, Japan and Department of Mathematical Sciences, University of Aberdeen, The Edward Wright Building, Dunbar Street, Aberdeen AB9 2TY, U.K.
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Synopsis

Let Gk be the gauge group of Pk, the principal SU(2) bundle over S4 with c2(Pk) = k. In this paper we show that Gk ≃ Gk. if and only if (12, k) = (12, k′) where (12, k) is the GCD of 12 and k.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 3-4 , 1991 , pp. 295 - 297
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

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