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2015 Torus knots obtained by twisting torus knots
Sangyop Lee
Algebr. Geom. Topol. 15(5): 2817-2836 (2015). DOI: 10.2140/agt.2015.15.2819

Abstract

A twisted torus knot is obtained from a torus knot by adding a number of full twists to some adjacent strands of the torus knot. In this paper, we show that if a twisted torus knot is a torus knot, then the number of added full twists is generically at most two in absolute value. We also show that this bound is the best possible by classifying twisted torus knots for which the upper bound is attained.

Citation

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Sangyop Lee. "Torus knots obtained by twisting torus knots." Algebr. Geom. Topol. 15 (5) 2817 - 2836, 2015. https://doi.org/10.2140/agt.2015.15.2819

Information

Received: 30 June 2014; Revised: 4 August 2014; Accepted: 9 February 2015; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1329.57012
MathSciNet: MR3426694
Digital Object Identifier: 10.2140/agt.2015.15.2819

Subjects:
Primary: 57N10

Keywords: Dehn surgery , torus knots , twisted torus knots

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.15 • No. 5 • 2015
MSP
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