Knotted contractible 4-manifolds in the 4-sphere

Details Knotted contractible 4-manifolds in the 4-sphere Knotted contractible 4-manifolds in the 4-sphere

2001-07-31

arxiv.org/abs/math/0107227v2

Mathematics

Geometric Topology

Six pages with two figures

Scientific paper

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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