Odd primary homotopy decompositions of gauge groups

Stephen D Theriault
2010 Algebraic and Geometric Topology  
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. 2000 Mathematics Subject Classification. Primary 54C35, 55P35, 55R10.
doi:10.2140/agt.2010.10.535 fatcat:4zn3sv5kmvhrrbgvkdalq3oi2e