HOME > Table of Contents and Abstracts > Vol. 64, No. 4
Tohoku Mathematical Journal
SECOND SERIES VOL. 64, NO. 4
|Tohoku Math. J.|
64 (2012), 469-488
MIDDLE TUNNELS BY SPLITTING
Sangbum Cho and Darryl McCullough
(Received October 13, 2011)
For a genus-1 1-bridge knot in $S^3$, that is, a (1,1)-knot, a middle tunnel is a tunnel that is not an upper or lower tunnel for some (1,1)-position. Most torus knots have a middle tunnel, and non-torus-knot examples were obtained by Goda, Hayashi, and Ishihara. We generalize their construction and calculate the slope invariants for the resulting middle tunnels. In particular, we obtain the slope sequence of the original example of Goda, Hayashi, and Ishihara.
2000 Mathematics Subject Classification.
Key words and phrases.
Knot, tunnel, (1,1), torus knot.
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