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TORUS KNOTS ARE FOURIER-(1,1,2) KNOTS

JIM HOSTE

Pitzer College, 1050 N. Mills Ave., Claremont, CA 91711, USA

https://doi.org/10.1142/S0218216509006926Cited by:2 (Source: Crossref)

Abstract

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

Keywords:

AMSC: 57M25

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