Odd primary homotopy types of SU(n)–gauge groups

Theriault, Stephen

doi:10.2140/agt.2017.17.1131

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

Stephen Theriault

Algebraic & Geometric Topology 17 (2017) 1131–1150

DOI: 10.2140/agt.2017.17.1131

Abstract

Let $G_{k} (SU (n))$ be the gauge group of the principal $SU (n)$ –bundle with second Chern class $k$ . If $p$ is an odd prime and $n \leq {(p - 1)}^{2} + 1$ , we classify the $p$ –local homotopy types of $G_{k} (SU (n))$ .

Keywords

gauge group, homotopy type

Mathematical Subject Classification 2010

Primary: 55P15

Secondary: 54C35

References

Publication

Received: 23 March 2016

Revised: 6 July 2016

Accepted: 18 August 2016

Published: 14 March 2017

Authors

Stephen Theriault
Mathematical Sciences University of Southampton Southampton SO17 1BJ United Kingdom

Volume 17, issue 2 (2017)