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TWISTED TORUS KNOTS WITH ESSENTIAL TORI IN THEIR COMPLEMENTS

SANGYOP LEE

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

https://doi.org/10.1142/S0218216513500417Cited by:3 (Source: Crossref)

Abstract

A twisted torus knot is a torus knot with a number of full-twists on some adjacent strands. In this paper, we show that if a twisted torus knot is a satellite knot then the number of full-twists is generically at most two.

Keywords:

AMSC: 57M50, 57M25

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Vol. 22, No. 08

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History

Received 1 April 2013

Accepted 21 May 2013

Published: 11 July 2013

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TWISTED TORUS KNOTS WITH ESSENTIAL TORI IN THEIR COMPLEMENTS

Abstract

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