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
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML