Observations on Lickorish knotting of contractible 4-manifolds
| dc.creator | Livingston, Charles | |
| dc.date | 2001-11-06 | |
| dc.date.accessioned | 2026-07-07T06:22:17Z | |
| dc.date.available | 2026-07-07T06:22:17Z | |
| dc.description | 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 contractible 4--manifolds which have an infinite number of knotted embeddings and also to construct knotted embeddings of the Mazur manifold for which the complement has trivial fundamental group. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0111065 | |
| dc.identifier | http://arxiv.org/abs/math/0111065 | |
| dc.identifier | Pac. J. of Math 209, (2003), 319-324. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95865 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57Q45 | |
| dc.title | Observations on Lickorish knotting of contractible 4-manifolds | |
| dc.type | text |