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Odd primary homotopy types of $\mathrm{SU}(n)$–gauge groups

Stephen Theriault

Algebraic & Geometric Topology 17 (2017) 1131–1150

Let Gk(SU(n)) be the gauge group of the principal SU(n)–bundle with second Chern class k. If p is an odd prime and n (p 1)2 + 1, we classify the p–local homotopy types of Gk(SU(n)).

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gauge group, homotopy type
Mathematical Subject Classification 2010
Primary: 55P15
Secondary: 54C35
Received: 23 March 2016
Revised: 6 July 2016
Accepted: 18 August 2016
Published: 14 March 2017
Stephen Theriault
Mathematical Sciences
University of Southampton
SO17 1BJ
United Kingdom