??2-stable classification of 4-manifolds with finite fundamental group

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2021

ISSN: ['1945-5844', '0030-8730']

DOI: https://doi.org/10.2140/pjm.2021.310.355