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Homotopy commutativity in p-localized gauge groups

Published online by Cambridge University Press:  17 July 2013

D. Kishimoto ,
A. Kono  and
S. Theriault
D. Kishimoto
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan (kishi@math.kyoto-u.ac.jp)
A. Kono
Affiliation:
Faculty of Science and Engineering, Doshisha University, Kyoto 610-0321, Japan (akono@mail.doshisha.ac.jp)
S. Theriault
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK
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Abstract

Let G be a simple, compact Lie group and let be the gauge group of the principal G-bundle over S4 with second Chern class k. McGibbon classified the groups G that are homotopy commutative when localized at a prime p. We show that in many cases the homotopy commutativity of G, or its failure, determines that of .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 4 , August 2013 , pp. 851 - 870
Copyright
Copyright © Royal Society of Edinburgh 2013 

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