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Positively twisted torus knots which are torus knots

Department of Mathematics, Chung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul 156-756, Korea

https://doi.org/10.1142/S0218216519500238Cited by:9 (Source: Crossref)

Abstract

A twisted torus knot $T (p, q, r, s)$ is obtained from a torus knot $T (p, q)$ by twisting $r$ adjacent strands of $T (p, q)$ fully $s$ times. In this paper, we determine the parameters $p, q, r, s$ for which $T (p, q, r, s)$ is a torus knot with $s > 0$ .

Keywords:

AMSC: 57M25

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