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On the signature and Euler characteristic of certain four-manifolds

Published online by Cambridge University Press:  24 October 2008

F. E. A. Johnson  and
D. Kotschick†
F. E. A. Johnson
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
D. Kotschick†
Affiliation:
Mathematisches Institut, Universität Basel, Rheinsprung 21, 4051 Basel, Switzerland
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Extract

Let M be a smooth closed connected oriented 4-manifold; we shall say that M satisfies Winkelnkemper's inequality when its signature, σ(M), and Euler characteristic, X(M), are related by

This inequality is trivially true for manifolds M with first Betti number b1(M) ≤ 1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 3 , November 1993 , pp. 431 - 437
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

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