Kasprowski, D., Land, M., Powell, M. and Teichner, P. (2017) Stable classification of 4-manifolds with 3-manifold fundamental groups. Journal of Topology, 10(3), pp. 827-881. (doi: 10.1112/topo.12025)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Professor Mark |
| Authors: | Kasprowski, D., Land, M., Powell, M., and Teichner, P. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Topology |
| Publisher: | Wiley |
| ISSN: | 1753-8416 |
| ISSN (Online): | 1753-8424 |
| Published Online: | 31 August 2017 |
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