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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(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.

Keywords
gauge group, $p$–local, decomposition
Mathematical Subject Classification 2000
Primary: 54C35, 55P35, 55R10
References
Publication
Received: 23 July 2009
Revised: 10 December 2009
Accepted: 24 December 2009
Published: 7 March 2010
Authors
Stephen D Theriault
Department of Mathematical Sciences
University of Aberdeen
Aberdeen AB24 3UE
United Kingdom
http://www.maths.abdn.ac.uk/~stephen/