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Knotted contractible
4-manifolds in S4
W.B.R. Lickorish |
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Vol. 208 (2003), No. 2, 283–290
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Abstract |
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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. |
Milestones
Received: 15 August 2001
Revised: 11 October 2001
Published: 1 February 2003
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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 |
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