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

Theriault, Stephen

doi:10.2140/agt.2017.17.1131

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

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)