$\mathbb{CP}^2$-stable classification of $4$-manifolds with finite fundamental group
Geometric Topology
2021-03-10 v2
Abstract
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 invariant agrees.
Keywords
Cite
@article{arxiv.1907.11920,
title = {$\mathbb{CP}^2$-stable classification of $4$-manifolds with finite fundamental group},
author = {Daniel Kasprowski and Peter Teichner},
journal= {arXiv preprint arXiv:1907.11920},
year = {2021}
}
Comments
16 pages, minor changes following a referee report, to appear in Pacific Journal of Math