English

Knotted contractible 4-manifolds in the 4-sphere

Geometric Topology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0107227,
  title  = {Knotted contractible 4-manifolds in the 4-sphere},
  author = {W. B. R. Lickorish},
  journal= {arXiv preprint arXiv:math/0107227},
  year   = {2007}
}

Comments

Six pages with two figures

R2 v1 2026-07-22T16:39:49.239Z