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

Kasprowski, Daniel; Teichner, Peter

doi:10.2140/pjm.2021.310.355

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

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Kasprowski, Daniel
Max Planck Institute for Mathematics, Max Planck Society;

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Teichner, Peter
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2140/pjm.2021.310.355
(Publisher version)

https://doi.org/10.48550/arXiv.1907.11920
(Preprint)

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Citation

Kasprowski, D., & Teichner, P. (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.

Cite as: https://hdl.handle.net/21.11116/0000-0008-681E-3

Abstract

We show that two closed, connected $4$-manifolds with finite fundamental
groups are $\mathbb{CP}^2$-stably homeomorphic if and only if their quadratic
$2$-types are stably isomorphic and their Kirby-Siebenmann invariant agrees.