#### Volume 10, issue 1 (2010)

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Odd primary homotopy decompositions of gauge groups

### Stephen D Theriault

Algebraic & Geometric Topology 10 (2010) 535–564
##### Abstract

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

##### Keywords
gauge group, $p$–local, decomposition
##### Mathematical Subject Classification 2000
Primary: 54C35, 55P35, 55R10