Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 조상범 | - |
dc.date.accessioned | 2018-02-28T04:25:09Z | - |
dc.date.available | 2018-02-28T04:25:09Z | - |
dc.date.issued | 2012-09 | - |
dc.identifier.citation | PACIFIC JOURNAL OF MATHEMATICS, v. 258, NO 1, Page. 51-89 | - |
dc.identifier.uri | https://msp.org/pjm/2012/258-1/p03.xhtml | - |
dc.description.abstract | A knot in S-3 in genus-1 1-bridge position (called a (1, 1)-position) can be described by an element of the braid group of two points in the torus. Our main results tell how to translate between a braid group element and the sequence of slope invariants of the upper and lower tunnels of the (1, 1)-position. After using them to verify previous calculations of the slope invariants for all tunnels of 2-bridge knots and (1, 1)-tunnels of torus knots, we obtain characterizations of the slope sequences of tunnels of 2-bridge knots, and of a class of tunnels we call toroidal. The main results lead to a general algorithm to calculate the slope invariants of the upper and lower tunnels from a braid description. The algorithm has been implemented as software, and we give some sample computations. | - |
dc.publisher | PACIFIC JOURNAL MATHEMATICS | - |
dc.title | SEMISIMPLE TUNNELS | - |
dc.type | Article | - |
dc.relation.no | 1 | - |
dc.relation.volume | 258 | - |
dc.identifier.doi | 10.2140/pjm.2012.258.51 | - |
dc.relation.page | 51-89 | - |
dc.relation.journal | PACIFIC JOURNAL OF MATHEMATICS | - |
dc.relation.code | 2012207375 | - |
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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