Geodesic
Odd primary homotopy decompositions of gauge groups
Theriault, Stephen D1
1Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
Algebraic and Geometric Topology, Tome 10 (2010) no. 1, pp. 535-564
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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.

DOI : 10.2140/agt.2010.10.535
Keywords: gauge group, $p$–local, decomposition

Theriault, Stephen D  1

1 Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom 
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Theriault, Stephen D. Odd primary homotopy decompositions of gauge groups. Algebraic and Geometric Topology, Tome 10 (2010) no. 1, pp. 535-564. doi: 10.2140/agt.2010.10.535

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