The suspension of a 4-manifold and its applications
The suspension of a 4-manifold and its applications
Let M be a smooth, orientable, closed, connected 4-manifold and suppose that H_1(M;Z) is finitely generated and has no 2-torsion. We give a homotopy decomposition of the suspension of M in terms of spheres, Moore spaces and the suspension of the complex projective plane. This is used to calculate any reduced generalized cohomology theory of M as a group and to determine the homotopy types of certain current groups and gauge groups.
non-simply connected four-manifold, suspension, homotopy type, gauge group
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
So, Tse Leung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
2 November 2022
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
So, Tse Leung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
Theriault, Stephen and So, Tse Leung
(2022)
The suspension of a 4-manifold and its applications.
Israel Journal of Mathematics.
Abstract
Let M be a smooth, orientable, closed, connected 4-manifold and suppose that H_1(M;Z) is finitely generated and has no 2-torsion. We give a homotopy decomposition of the suspension of M in terms of spheres, Moore spaces and the suspension of the complex projective plane. This is used to calculate any reduced generalized cohomology theory of M as a group and to determine the homotopy types of certain current groups and gauge groups.
Text
susp_4manifold_revised
- Accepted Manuscript
More information
Accepted/In Press date: 2 November 2022
Published date: 2 November 2022
Keywords:
non-simply connected four-manifold, suspension, homotopy type, gauge group
Identifiers
Local EPrints ID: 472902
URI: http://eprints.soton.ac.uk/id/eprint/472902
ISSN: 0021-2172
PURE UUID: 839a4dfc-bed5-4be2-b64e-1a147f97b953
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Date deposited: 05 Jan 2023 18:08
Last modified: 17 Mar 2024 03:30
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Contributors
Author:
Tse Leung So
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