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math.GT2003
The Hausmann-Weinberger 4-manifold invariant of abelian groups
Paul Kirk, Charles Livingston
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 finit…
math.GT2003★ 1 cited
A survey of classical knot concordance
Charles Livingston
This is survey about the classical knot concordance group, prepared for an upcoming handbook of knot theory. Topics include: the basic definitions of concordance; the theory of alg…
math.GT2003
Four-manifolds of large negative deficiency
Charles Livingston
For every N > 0 there exists a group of deficiency less than -N that arises as the fundamental group of a smooth homology 4-sphere and also as the fundamental group of the compleme…