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CP2-stable classification of 4-manifolds with finite fundamental group

CP2-stable classification of 4-manifolds with finite fundamental group
CP2-stable classification of 4-manifolds with finite fundamental group
We show that two closed, connected 4-manifolds with finite fundamental groups are CP2-stably homeomorphic if and only if their quadratic 2-types are stably isomorphic and their Kirby-Siebenmann invariants agree.
Whitehead’s Gamma group, stable classification of 4-manifolds
1945-5844
355-373
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b

Kasprowski, Daniel and Teichner, Peter (2021) CP2-stable classification of 4-manifolds with finite fundamental group. Pacific Journal of Mathematics, 310 (2), 355-373. (doi:10.2140/pjm.2021.310.355).

Record type: Article

Abstract

We show that two closed, connected 4-manifolds with finite fundamental groups are CP2-stably homeomorphic if and only if their quadratic 2-types are stably isomorphic and their Kirby-Siebenmann invariants agree.

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1907.11920 - Accepted Manuscript
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Accepted/In Press date: 30 November 2020
Published date: 8 March 2021
Keywords: Whitehead’s Gamma group, stable classification of 4-manifolds

Identifiers

Local EPrints ID: 475645
URI: http://eprints.soton.ac.uk/id/eprint/475645
ISSN: 1945-5844
PURE UUID: c610ca8b-0640-464f-838f-efb2022b770b
ORCID for Daniel Kasprowski: ORCID iD orcid.org/0000-0001-5926-2206

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Date deposited: 23 Mar 2023 17:40
Last modified: 17 Mar 2024 04:19

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Contributors

Author: Daniel Kasprowski ORCID iD
Author: Peter Teichner

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