KNOTTED CONTRACIBLE 4-MANIFOLDS IN THE 4-SPHERE by W.B.Raymond Lickorish
نویسنده
چکیده
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 is a knot group for an embedding of some contractible 4-manifold in S.
منابع مشابه
Observations on Lickorish Knotting of Contractible 4–manifolds
Lickorish has constructed large families of contractible 4–manifolds that have knotted embeddings in the 4–sphere and has also shown that every finitely presented perfect group with balanced presentation occurs as the fundamental group of the complement of a knotted contractible manifold. Here we make a few observations regarding Lickorish’s construction, showing how to extend it to construct c...
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