Homotopy types of SU(n)-gauge groups over non-spin 4-manifolds
Homotopy types of SU(n)-gauge groups over non-spin 4-manifolds
Let M be an orientable, simply-connected, closed, non-spin 4-manifold and let Gk(M) be the gauge group of the principal G-bundle over M with second Chern class k∈Z. It is known that the homotopy type of Gk(M) is determined by the homotopy type of Gk(CP2). In this paper we investigate properties of Gk(CP2) when G=SU(n) that partly classify the homotopy types of the gauge groups.
10.1007%2Fs40062-019-00233-4
787–811
So, Tse Leung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
September 2019
So, Tse Leung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
So, Tse Leung
(2019)
Homotopy types of SU(n)-gauge groups over non-spin 4-manifolds.
Journal of Homotopy and Related Structures, 14 (3), .
(doi:10.1007%2Fs40062-019-00233-4).
Abstract
Let M be an orientable, simply-connected, closed, non-spin 4-manifold and let Gk(M) be the gauge group of the principal G-bundle over M with second Chern class k∈Z. It is known that the homotopy type of Gk(M) is determined by the homotopy type of Gk(CP2). In this paper we investigate properties of Gk(CP2) when G=SU(n) that partly classify the homotopy types of the gauge groups.
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So2019 Article Homotopy Types Of SUN-gauge Groups
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Accepted/In Press date: 28 February 2019
e-pub ahead of print date: 12 March 2019
Published date: September 2019
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Local EPrints ID: 429294
URI: http://eprints.soton.ac.uk/id/eprint/429294
ISSN: 2193-8407
PURE UUID: d18f1eba-88d5-40c0-8f7c-1a737c9879a1
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Date deposited: 26 Mar 2019 17:30
Last modified: 16 Mar 2024 01:07
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Tse Leung So
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