Odd primary homotopy decompositions of gauge groups

Theriault, Stephen D

doi:10.2140/agt.2010.10.535

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Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

Algebraic & Geometric Topology 10 (2010) 535–564

DOI: 10.2140/agt.2010.10.535

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/

Volume 10, issue 1 (2010)