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
1245–1252
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Membrillo Solis, Ingrid
c458faf5-8cdb-4618-ba90-f8a90209f20a
Kishimoto, Daisuke
8cf8311a-82c3-477a-aa07-018959aee455
September 2021
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), .
(doi:10.1007/s40879-021-00453-0).
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).
Text
SO(4) revised
- Accepted Manuscript
More information
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
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Date deposited: 08 Dec 2020 17:30
Last modified: 17 Mar 2024 06:08
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Author:
Daisuke Kishimoto
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