Open Access
2011 An algorithm for finding parameters of tunnels
Kai Ishihara
Algebr. Geom. Topol. 11(4): 2167-2190 (2011). DOI: 10.2140/agt.2011.11.2167

Abstract

Cho and McCullough gave a numerical parameterization of the collection of all tunnels of all tunnel number 1 knots and links in the 3–sphere. Here we give an algorithm for finding the parameter of a given tunnel by using its Heegaard diagram.

Citation

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Kai Ishihara. "An algorithm for finding parameters of tunnels." Algebr. Geom. Topol. 11 (4) 2167 - 2190, 2011. https://doi.org/10.2140/agt.2011.11.2167

Information

Received: 17 November 2009; Revised: 17 May 2011; Accepted: 30 May 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1232.57010
MathSciNet: MR2826935
Digital Object Identifier: 10.2140/agt.2011.11.2167

Subjects:
Primary: 57M25
Secondary: 57N10

Keywords: Heegaard diagram , parameter of tunnel , unknotting tunnel

Rights: Copyright © 2011 Mathematical Sciences Publishers

Vol.11 • No. 4 • 2011
MSP
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