Stable classification of 4-manifolds with 3-manifold fundamental groups

Kasprowski, Daniel, Land, Markus, Powell, Mark and Teichner, Peter (2017) Stable classification of 4-manifolds with 3-manifold fundamental groups. Journal of Topology, 10 (3), 827-881. (doi:10.1112/topo.12025).

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 w2-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.

This record has no associated files available for download.

Contributors

Author: Daniel Kasprowski

Download statistics