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MIDDLE TUNNELS BY SPLITTING

Title
MIDDLE TUNNELS BY SPLITTING
Author
조상범
Keywords
Key words and phrases; Knot; tunnel; (1,1); torus knot.
Issue Date
2012-12
Publisher
Mathematical Institute of Tohoku University
Citation
Tohoku Mathematical Journal, 2012, 64(4), P.469-488
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
URI
https://www.jstage.jst.go.jp/article/tmj/64/4/64_469/_article/-char/enhttp://hdl.handle.net/20.500.11754/50828
ISSN
0040-8735
DOI
10.2748/tmj/1356038975
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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