Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
We show that for an oriented 4-dimensional Poincaré complex X with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type of X is determined by its quadratic 2-type.
263-283
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ruppik, Benjamin
7c72a101-68f7-4cd7-8eab-7f1a417fcc19
8 November 2024
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ruppik, Benjamin
7c72a101-68f7-4cd7-8eab-7f1a417fcc19
Kasprowski, Daniel, Powell, Mark and Ruppik, Benjamin
(2024)
Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups.
Mathematical Proceedings of the Cambridge Philosophical Society, 177 (2), .
(doi:10.1017/S0305004124000227).
Abstract
We show that for an oriented 4-dimensional Poincaré complex X with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type of X is determined by its quadratic 2-type.
Text
Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental group
- Accepted Manuscript
Text
homotopy-classification-of-4-manifolds-with-finite-abelian-2-generator-fundamental-groups
- Version of Record
More information
Accepted/In Press date: 14 May 2024
e-pub ahead of print date: 8 November 2024
Published date: 8 November 2024
Additional Information:
Publisher Copyright:
© The Author(s), 2024.
Identifiers
Local EPrints ID: 478543
URI: http://eprints.soton.ac.uk/id/eprint/478543
ISSN: 0305-0041
PURE UUID: a5c71575-9162-4e80-bbef-9e01bb54ddfe
Catalogue record
Date deposited: 04 Jul 2023 17:48
Last modified: 10 Dec 2024 03:06
Export record
Altmetrics
Contributors
Author:
Daniel Kasprowski
Author:
Mark Powell
Author:
Benjamin Ruppik
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics