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

Daniel Kasprowski; Markus Land; Mark Powell; Peter Teichner

doi:10.1112/topo.12025

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arXiv · 1511.01172

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

Daniel Kasprowski·Markus Land·Mark Powell·Peter Teichner

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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 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.

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BibTeX RIS

Daniel Kasprowski, Markus Land, Mark Powell, Peter Teichner. 2017-06-15. Stable classification of 4-manifolds with 3-manifold fundamental groups. https://doi.org/10.1112/topo.12025

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