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Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | 조상범 | - |
| dc.date.accessioned | 2018-03-22T08:32:41Z | - |
| dc.date.available | 2018-03-22T08:32:41Z | - |
| dc.date.issued | 2012-12 | - |
| dc.identifier.citation | Tohoku Mathematical Journal, 2012, 64(4), P.469-488 | en_US |
| dc.identifier.issn | 0040-8735 | - |
| dc.identifier.uri | https://www.jstage.jst.go.jp/article/tmj/64/4/64_469/_article/-char/en | - |
| dc.identifier.uri | http://hdl.handle.net/20.500.11754/50828 | - |
| dc.description.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 | en_US |
| dc.description.sponsorship | The first author was supported in part by the research fund of Hanyang University (HY-2011-N).The second author was supported in part by NSF grant DMS-0802424. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematical Institute of Tohoku University | en_US |
| dc.subject | Key words and phrases | en_US |
| dc.subject | Knot | en_US |
| dc.subject | tunnel | en_US |
| dc.subject | (1,1) | en_US |
| dc.subject | torus knot. | en_US |
| dc.title | MIDDLE TUNNELS BY SPLITTING | en_US |
| dc.type | Article | en_US |
| dc.relation.no | 4 | - |
| dc.relation.volume | 64 | - |
| dc.identifier.doi | 10.2748/tmj/1356038975 | - |
| dc.relation.page | 469-488 | - |
| dc.relation.journal | TOHOKU MATHEMATICAL JOURNAL | - |
| dc.contributor.googleauthor | Cho, Sang-bum | - |
| dc.contributor.googleauthor | McCullough, Darryl | - |
| dc.relation.code | 2012209500 | - |
| dc.sector.campus | S | - |
| dc.sector.daehak | COLLEGE OF EDUCATION[S] | - |
| dc.sector.department | DEPARTMENT OF MATHEMATICS EDUCATION | - |
| dc.identifier.pid | scho | - |
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