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arxiv: math/0002151 · v2 · submitted 2000-02-18 · 🧮 math.GT · math.AT

On the signatures of even 4-manifolds

classification 🧮 math.GT math.AT
keywords evenbettidiscussformfurthermoregeometricgroupinequalities
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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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