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2009 Cabling sequences of tunnels of torus knots
Sangbum Cho, Darryl McCullough
Algebr. Geom. Topol. 9(1): 1-20 (2009). DOI: 10.2140/agt.2009.9.1

Abstract

In previous work, we developed a theory of tunnels of tunnel number 1 knots in S3. It yields a parameterization in which each tunnel is described uniquely by a finite sequence of rational parameters and a finite sequence of 0s and 1s, that together encode a procedure for constructing the knot and tunnel. In this paper we calculate these invariants for all tunnels of torus knots

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Sangbum Cho. Darryl McCullough. "Cabling sequences of tunnels of torus knots." Algebr. Geom. Topol. 9 (1) 1 - 20, 2009. https://doi.org/10.2140/agt.2009.9.1

Information

Received: 5 August 2008; Revised: 22 October 2008; Accepted: 11 December 2008; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1170.57005
MathSciNet: MR2471129
Digital Object Identifier: 10.2140/agt.2009.9.1

Subjects:
Primary: 57M25

Keywords: knot, link, torus knot, tunnel

Rights: Copyright © 2009 Mathematical Sciences Publishers

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