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On the signatures of even 4-manifolds

Published online by Cambridge University Press:  17 June 2002

CHRISTIAN BOHR
Affiliation:
Department of Mathematics, Yale University, P.O. Box 208283, New Haven, CT 06520-8283, U.S.A. e-mail: bohr@math.yale.edu

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 and prescribed fundamental group. Furthermore, we introduce a new geometric group invariant and discuss some of its properties.

Type
Research Article
Copyright
2002 Cambridge Philosophical Society

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