Quadrisecants of knots and links
| dc.creator | Kuperberg, Greg | |
| dc.date | 1997-12-01 | |
| dc.date | 2002-06-25 | |
| dc.date.accessioned | 2026-07-07T05:23:19Z | |
| dc.date.available | 2026-07-07T05:23:19Z | |
| dc.description | We show that every non-trivial tame knot or link in R^3 has a quadrisecant, i.e. four collinear points. The quadrisecant must be topologically non-trivial in a precise sense. As an application, we show that a nonsingular, algebraic surface in R^3 which is a knotted torus must have degree at least eight. | |
| dc.description | 7 pages. Figures added, retypeset in REVTeX, spelling corrected | |
| dc.identifier | https://arxiv.org/abs/math/9712205 | |
| dc.identifier | http://arxiv.org/abs/math/9712205 | |
| dc.identifier | J. Knot Theory Ramifications 3 (1994), 41-50 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76391 | |
| dc.subject | Geometric Topology | |
| dc.title | Quadrisecants of knots and links | |
| dc.type | text |