The Hausmann-Weinberger 4-manifold invariant of abelian groups
Paul Kirk, Charles Livingston
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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