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Knotted contractible 4-manifolds in the 4-sphere

W. B. R. Lickorish

math.GTarXiv:math/0107227

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 the 4-sphere.

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