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MIDDLE TUNNELS BY SPLITTING
- Authors
- Cho, Sangbum; McCullough, Darryl
- Issue Date
- Dec-2012
- Publisher
- TOHOKU UNIVERSITY
- Keywords
- Knot; tunnel; (1,1); torus knot
- Citation
- TOHOKU MATHEMATICAL JOURNAL, v.64, no.4, pp.469 - 488
- Indexed
- SCIE
SCOPUS
- Journal Title
- TOHOKU MATHEMATICAL JOURNAL
- Volume
- 64
- Number
- 4
- Start Page
- 469
- End Page
- 488
- ISSN
- 0040-8735
- Abstract
- 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.
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Related Researcher
- Cho, Sang bum
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)