Four-manifolds up to connected sum with complex projective planes
Four-manifolds up to connected sum with complex projective planes
Based on results of Kreck, we show that closed, connected 4-manifolds up to connected sum with copies of the complex projective plane are classified in terms of the fundamental group, the orientation character and an extension class involving the second homotopy group. For fundamental groups that are torsion free or have one end, we reduce this further to a classification in terms of the homotopy 2-type.
75-118
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b
1 February 2022
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b
Kasprowski, Daniel, Powell, Mark and Teichner, Peter
(2022)
Four-manifolds up to connected sum with complex projective planes.
American Journal of Mathematics, 144 (1), .
(doi:10.1353/ajm.2022.0001).
Abstract
Based on results of Kreck, we show that closed, connected 4-manifolds up to connected sum with copies of the complex projective plane are classified in terms of the fundamental group, the orientation character and an extension class involving the second homotopy group. For fundamental groups that are torsion free or have one end, we reduce this further to a classification in terms of the homotopy 2-type.
Text
1802.09811
- Accepted Manuscript
More information
Accepted/In Press date: 29 January 2021
Published date: 1 February 2022
Identifiers
Local EPrints ID: 475457
URI: http://eprints.soton.ac.uk/id/eprint/475457
ISSN: 0002-9327
PURE UUID: 89d2f6cb-b22d-4270-b83f-c8de446715c1
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Date deposited: 20 Mar 2023 17:34
Last modified: 17 Mar 2024 04:19
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Author:
Daniel Kasprowski
Author:
Mark Powell
Author:
Peter Teichner
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