Torus knots are Fourier-(1,1,2) knots
| dc.creator | Hoste, Jim | |
| dc.date | 2007-08-27 | |
| dc.date.accessioned | 2026-07-07T08:25:52Z | |
| dc.date.available | 2026-07-07T08:25:52Z | |
| dc.description | Every torus knot can be represented as a Fourier-(1,1,2) knot which is the simplest possible Fourier representation for such a knot. This answers a question of Kauffman and confirms the conjecture made by Boocher, Daigle, Hoste and Zheng. In particular, the torus knot T(p,q) can be parameterized as x(t)=cos(pt), y(t)=cos(qt+pi/(2p)), and z(t)=cos(pt+pi/2)\cos((q-p)t+pi/(2p)-pi/(4q)). | |
| dc.description | 5 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0708.3590 | |
| dc.identifier | http://arxiv.org/abs/0708.3590 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136762 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Torus knots are Fourier-(1,1,2) knots | |
| dc.type | text |