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

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.

55 pages, 2 figures

References in corpus (1)

• Higher order intersection numbers of 2-spheres in 4-manifolds

Cited by in corpus (15)

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