Stable classification of 4-manifolds with 3-manifold fundamental groups
Geometric Topology
2017-12-20 v2
Abstract
We study closed, oriented 4-manifolds whose fundamental group is that of a closed, oriented, aspherical 3-manifold. We show that two such 4-manifolds are stably diffeomorphic if and only if they have the same w_2-type and their equivariant intersection forms are stably isometric. We also find explicit algebraic invariants that determine the stable classification for spin manifolds in this class.
Keywords
Cite
@article{arxiv.1511.01172,
title = {Stable classification of 4-manifolds with 3-manifold fundamental groups},
author = {Daniel Kasprowski and Markus Land and Mark Powell and Peter Teichner},
journal= {arXiv preprint arXiv:1511.01172},
year = {2017}
}
Comments
55 pages, 2 figures