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Odd primary homotopy types of the gauge groups of exceptional Lie groups

Odd primary homotopy types of the gauge groups of exceptional Lie groups
Odd primary homotopy types of the gauge groups of exceptional Lie groups
The p-local homotopy types of gauge groups of principal G-bundles over S^4 are classified when G is a compact connected exceptional Lie group without p-torsion in homology except for (G,p) = (E7,5).
gauge group, homotopy type, exceptional Lie group, Samelson product
0002-9939
1751-1762
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Hasui, Sho
29c87abd-16ce-4d6c-9d29-79c5a7da2dc0
Kishimoto, Daisuke
a480b0fd-46d1-4667-94c0-5050292d9dd2
So, Tse Leung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Hasui, Sho
29c87abd-16ce-4d6c-9d29-79c5a7da2dc0
Kishimoto, Daisuke
a480b0fd-46d1-4667-94c0-5050292d9dd2
So, Tse Leung
175505d4-3a13-4bb3-8f99-f24502cfcc2d

Theriault, Stephen, Hasui, Sho, Kishimoto, Daisuke and So, Tse Leung (2019) Odd primary homotopy types of the gauge groups of exceptional Lie groups. Proceedings of the American Mathematical Society, 147, 1751-1762. (doi:10.1090/proc/14333).

Record type: Article

Abstract

The p-local homotopy types of gauge groups of principal G-bundles over S^4 are classified when G is a compact connected exceptional Lie group without p-torsion in homology except for (G,p) = (E7,5).

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Odd primary homotopy types of the gauge groups of exceptional Lie groups - Accepted Manuscript
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Accepted/In Press date: 21 July 2018
e-pub ahead of print date: 8 January 2019
Keywords: gauge group, homotopy type, exceptional Lie group, Samelson product

Identifiers

Local EPrints ID: 422901
URI: http://eprints.soton.ac.uk/id/eprint/422901
ISSN: 0002-9939
PURE UUID: aa59307a-07d3-48bb-8c27-8b9ab9256cb2
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

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Date deposited: 07 Aug 2018 16:31
Last modified: 17 Dec 2019 01:37

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