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The homotopy types of G2-gauge groups

The homotopy types of G2-gauge groups
The homotopy types of G2-gauge groups
The equivalence class of a principal G_2-bundle over S^4 is classified by the value of the second Chern class. In this paper we consider the homotopy types of the corresponding gauge groups, and determine the number of homotopy types up to one factor of 2.
gauge group, homotopy type
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Kishimoto, Daisuke
8cf8311a-82c3-477a-aa07-018959aee455
Tsutaya, Mitsunobu
208ac6cd-1ab8-4161-b05b-07a8ed164dfd
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Kishimoto, Daisuke
8cf8311a-82c3-477a-aa07-018959aee455
Tsutaya, Mitsunobu
208ac6cd-1ab8-4161-b05b-07a8ed164dfd

Theriault, Stephen, Kishimoto, Daisuke and Tsutaya, Mitsunobu (2017) The homotopy types of G2-gauge groups. Topology and its Applications. (In Press)

Record type: Article

Abstract

The equivalence class of a principal G_2-bundle over S^4 is classified by the value of the second Chern class. In this paper we consider the homotopy types of the corresponding gauge groups, and determine the number of homotopy types up to one factor of 2.

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G2gauge_revised - Accepted Manuscript
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Accepted/In Press date: 31 May 2017
Keywords: gauge group, homotopy type

Identifiers

Local EPrints ID: 412274
URI: http://eprints.soton.ac.uk/id/eprint/412274
PURE UUID: 5a3bc294-da51-4ce3-a69e-dab17fe4e632
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

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Date deposited: 17 Jul 2017 13:19
Last modified: 16 Mar 2024 05:32

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Contributors

Author: Daisuke Kishimoto
Author: Mitsunobu Tsutaya

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