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.
Ishihara, Kai  1
@article{10_2140_agt_2011_11_2167,
author = {Ishihara, Kai},
title = {An algorithm for finding parameters of tunnels},
journal = {Algebraic and Geometric Topology},
pages = {2167--2190},
year = {2011},
volume = {11},
number = {4},
doi = {10.2140/agt.2011.11.2167},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.2167/}
}
Ishihara, Kai. An algorithm for finding parameters of tunnels. Algebraic and Geometric Topology, Tome 11 (2011) no. 4, pp. 2167-2190. doi: 10.2140/agt.2011.11.2167
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