English

On the signatures of even 4-manifolds

Geometric Topology 2007-05-23 v2 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.math/0002151,
  title  = {On the signatures of even 4-manifolds},
  author = {Christian Bohr},
  journal= {arXiv preprint arXiv:math/0002151},
  year   = {2007}
}

Comments

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