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$\mathbb{CP}^2$-stable
classification of $4$-manifolds with finite fundamental
group
Daniel Kasprowski and Peter Teichner |
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Vol. 310 (2021), No. 2, 355–373
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DOI: 10.2140/pjm.2021.310.355
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Abstract |
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We show that two closed, connected -manifolds with finite fundamental groups are -stably homeomorphic if and only if their quadratic -types are stably isomorphic and their Kirby–Siebenmann invariants agree. |
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Keywords
Whitehead's Gamma group, stable classification of
4-manifolds
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Mathematical Subject Classification 2010
Primary: 57N13
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Milestones
Received: 18 September 2019
Revised: 26 January 2020
Accepted: 30 November 2020
Published: 8 March 2021
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Authors |
| Daniel Kasprowski | |
| Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Bonn Germany |
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| Peter Teichner | |
| Max Planck Institute for
Mathematics Bonn Germany |
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