On the signatures of even 4-manifolds

Details On the signatures of even 4-manifolds On the signatures of even 4-manifolds

2000-02-18

arxiv.org/abs/math/0002151v2

Mathematics

Geometric Topology

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

Scientific paper

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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