Algebraic & Geometric Topology

Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

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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

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

Received: 23 July 2009
Revised: 10 December 2009
Accepted: 24 December 2009
First available in Project Euclid: 21 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 54C35: Function spaces [See also 46Exx, 58D15] 55P35: Loop spaces 55R10: Fiber bundles

gauge group $p$–local decomposition


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.

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