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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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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.