## Algebraic & Geometric Topology

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

Stephen Theriault

#### Abstract

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 $Gk(SU(n))$.

#### Article information

Source
Algebr. Geom. Topol., Volume 17, Number 2 (2017), 1131-1150.

Dates
Revised: 6 July 2016
Accepted: 18 August 2016
First available in Project Euclid: 19 October 2017

https://projecteuclid.org/euclid.agt/1508431456

Digital Object Identifier
doi:10.2140/agt.2017.17.1131

Mathematical Reviews number (MathSciNet)
MR3623684

Zentralblatt MATH identifier
1361.55010

Subjects
Primary: 55P15: Classification of homotopy type

Keywords
gauge group homotopy type

#### Citation

Theriault, Stephen. Odd primary homotopy types of $\mathrm{SU}(n)$–gauge groups. Algebr. Geom. Topol. 17 (2017), no. 2, 1131--1150. doi:10.2140/agt.2017.17.1131. https://projecteuclid.org/euclid.agt/1508431456

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