The Hausmann-Weinberger 4–manifold invariant of abelian groups

DOI10.1090/S0002-9939-04-07652-XzbMath1061.57001arXivmath/0307101MaRDI QIDQ4654074

Charles Livingston, Paul A. Kirk

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307101

zbMATH Keywords

4-manifoldsHausmann-Weinberger invariantminimal Euler characteristic

Mathematics Subject Classification ID

Related Items (5)

Minimal Euler characteristics for even-dimensional manifolds with finite fundamental group ⋮ The geography problem for 4-manifolds with specified fundamental group ⋮ Geography of 4-manifolds with positive scalar curvature ⋮ Topological 4-manifolds with right-angled Artin fundamental groups ⋮ The minimum \(b_2\) problem for right-angled Artin groups

Cites Work

• Caractéristiques d'Euler et groupes fondamentaux des variétés de dimension 4
• \(L^ 2\)-Betti numbers of mapping tori and groups
• 4-manifolds, group invariants, and \(l_2\)-Betti numbers
• An homology 4-sphere group with negative deficiency.
• Introduction to \(\ell_2\)-methods in topology: Reduced \(\ell_2\)-homology, harmonic chains, \(\ell_2\)-Betti numbers
• On the signature and Euler characteristic of certain four-manifolds
• Four-manifolds of large negative deficiency
• Unnamed Item

This page was built for publication: The Hausmann-Weinberger 4–manifold invariant of abelian groups