paper

Knotted contractible 4-manifolds in the 4-sphere

arXiv: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.

Six pages with two figures

Knotted contractible 4-manifolds in the 4-sphere · wovepaper