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On the signatures of even 4-manifolds

Published online by Cambridge University Press:  17 June 2002

CHRISTIAN BOHR
CHRISTIAN BOHR
Affiliation:
Department of Mathematics, Yale University, P.O. Box 208283, New Haven, CT 06520-8283, U.S.A. e-mail: [email protected]
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 3 , May 2002 , pp. 453 - 469
Copyright
2002 Cambridge Philosophical Society

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