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The homotopy types of SO(4)-gauge groups

The homotopy types of SO(4)-gauge groups
The homotopy types of SO(4)-gauge groups
The homotopy types of gauge groups of principal SO(4)-bundles over S^4 are classified p-locally for every prime p, and partial results are obtained integrally. The method generalizes to deal with any quotient of the form (S^3)^n/Z where Z is a subgroup generated by (−1, . . . , −1).
SO(4), gauge group, homotopy type
2199-6768
1245–1252
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Membrillo Solis, Ingrid
c458faf5-8cdb-4618-ba90-f8a90209f20a
Kishimoto, Daisuke
8cf8311a-82c3-477a-aa07-018959aee455
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Membrillo Solis, Ingrid
c458faf5-8cdb-4618-ba90-f8a90209f20a
Kishimoto, Daisuke
8cf8311a-82c3-477a-aa07-018959aee455

Theriault, Stephen, Membrillo Solis, Ingrid and Kishimoto, Daisuke (2021) The homotopy types of SO(4)-gauge groups. European Journal of Mathematics, 7 (3), 1245–1252. (doi:10.1007/s40879-021-00453-0).

Record type: Article

Abstract

The homotopy types of gauge groups of principal SO(4)-bundles over S^4 are classified p-locally for every prime p, and partial results are obtained integrally. The method generalizes to deal with any quotient of the form (S^3)^n/Z where Z is a subgroup generated by (−1, . . . , −1).

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SO(4) revised - Accepted Manuscript
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Accepted/In Press date: 25 November 2020
e-pub ahead of print date: 27 April 2021
Published date: September 2021
Additional Information: Funding Information: The first author is supported by JSPS KAKENHI (No. 17K05248), the second author is supported by EPSRC Grant EP/N014189/1 and Leverhulme Trust Grant RPG-2019-055. Publisher Copyright: © 2021, The Author(s).
Keywords: SO(4), gauge group, homotopy type

Identifiers

Local EPrints ID: 445410
URI: http://eprints.soton.ac.uk/id/eprint/445410
ISSN: 2199-6768
PURE UUID: 8c62ff58-3b53-42a0-80d5-827f5da3cdc8
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527
ORCID for Ingrid Membrillo Solis: ORCID iD orcid.org/0000-0002-9209-3042

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Date deposited: 08 Dec 2020 17:30
Last modified: 06 Jun 2024 04:17

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Author: Daisuke Kishimoto

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