The Hausmann-Weinberger 4-manifold invariant of abelian groups

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.

9 pages, minor update from previous version