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

Kasprowski, Daniel; Land, Markus; Powell, Mark; Teichner, Peter

doi:10.1112/topo.12025

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

Kasprowski, Daniel; Land, Markus; Powell, Mark; Teichner, Peter

Authors

Daniel Kasprowski

Markus Land

Mark Powell

Peter Teichner

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.

Citation

Kasprowski, D., Land, M., Powell, M., & Teichner, P. (2017). Stable classification of 4-manifolds with 3-manifold fundamental groups. Journal of Topology, 10(3), 827-881. https://doi.org/10.1112/topo.12025

Journal Article Type	Article
Acceptance Date	Jun 15, 2017
Online Publication Date	Aug 31, 2017
Publication Date	Sep 1, 2017
Deposit Date	Oct 3, 2017
Publicly Available Date	Oct 3, 2017
Journal	Journal of Topology
Print ISSN	1753-8416
Electronic ISSN	1753-8424
Publisher	Wiley
Peer Reviewed	Peer Reviewed
Volume	10
Issue	3
Pages	827-881
DOI	https://doi.org/10.1112/topo.12025
Related Public URLs	https://arxiv.org/abs/1511.01172

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This is a pre-copyedited, author-produced PDF of an article accepted for publication in the Journal of Topology following peer review. The version of record is available online at: https://doi.org/10.1112/topo.12025