Odd primary homotopy decompositions of gauge groups
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.
gauge group, p–local, decomposition
535-564
Theriault, Stephen D.
5e442ce4-8941-41b3-95f1-5e7562fdef80
7 March 2010
Theriault, Stephen D.
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen D.
(2010)
Odd primary homotopy decompositions of gauge groups.
Algebraic & Geometric Topology, 10 (1), .
(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.
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Published date: 7 March 2010
Keywords:
gauge group, p–local, decomposition
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 341254
URI: http://eprints.soton.ac.uk/id/eprint/341254
ISSN: 1472-2747
PURE UUID: 62d3f9c9-db11-420c-8ee6-bb0297bad18f
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Date deposited: 18 Jul 2012 13:52
Last modified: 15 Mar 2024 03:45
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