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The Hausmann-Weinberger 4-manifold invariant of abelian groups

Paul Kirk·Charles Livingston
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Abstract

The Hausmann-Weinberger invariant of a group G is the minimal Euler characteristic of a closed orientable 4-manifold M with fundamental group G. We compute this invariant for finitely generated free abelian groups and estimate the invariant for all finitely generated abelian groups.

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Paul Kirk, Charles Livingston. 2003-09-27. The Hausmann-Weinberger 4-manifold invariant of abelian groups. https://arxiv.org/abs/math/0307101

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