Odd primary homotopy decompositions of gauge groups

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)

Stephen D Theriault

Abstract

Keywords

Mathematical Subject Classification 2000

References

Publication

Authors