On the signatures of even 4-manifolds

2000/02/18 by Christian Bohr, Bohr, Christian · 1 citation
Computer Science · Mathematics · #57M99 (Primary) 57M05 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.GT #msc:57M05 #msc:57M99

paper · pdf · doi:10.48550/arxiv.math/0002151

Revised version, to appear in Math. Proc. Cambridge Phil. Soc

openalex publication_date 2000/02/18 · arxiv created 2000/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a number of inequalities between the signature and the Betti numbers of a 4-manifold with even intersection form. Furthermore, we introduce a new geometric group invariant and discuss some of its properties.

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