Vol. 208, No. 2, 2003

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W.B.R. Lickorish

Abstract

Examples are given to show that some compact contractible 4-manifolds can be knotted in the 4-sphere. It is then proved that any finitely presented perfect group with a balanced presentation is a knot group for an embedding of some contractible 4-manifold in S4.

Authors
W.B.R. Lickorish
University of Cambridge
Department of Pure Mathematics and Mathematical Statistics
Centre for Mathematical Sciences
Wilberforce Road, Cambridge CB3 0WB
UK