## Algebraic & Geometric Topology

### Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

#### Abstract

We construct $p$–local decompositions of certain gauge groups when $p$ is an odd prime. Specifically, we decompose $SU(n)$, $Sp(n)$ and $Spin(n)$–gauge groups over simply connected $4$–manifolds and $U(n)$–gauge groups over compact, orientable Riemann surfaces, given certain restrictions on $n$ that depend on $p$.

#### Article information

Source
Algebr. Geom. Topol., Volume 10, Number 1 (2010), 535-564.

Dates
Revised: 10 December 2009
Accepted: 24 December 2009
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882322

Digital Object Identifier
doi:10.2140/agt.2010.10.535

Mathematical Reviews number (MathSciNet)
MR2602840

Zentralblatt MATH identifier
1196.55009

#### Citation

Theriault, Stephen D. Odd primary homotopy decompositions of gauge groups. Algebr. Geom. Topol. 10 (2010), no. 1, 535--564. doi:10.2140/agt.2010.10.535. https://projecteuclid.org/euclid.agt/1513882322

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