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dc.contributor.author조상범-
dc.date.accessioned2018-02-28T04:25:09Z-
dc.date.available2018-02-28T04:25:09Z-
dc.date.issued2012-09-
dc.identifier.citationPACIFIC JOURNAL OF MATHEMATICS, v. 258, NO 1, Page. 51-89-
dc.identifier.urihttps://msp.org/pjm/2012/258-1/p03.xhtml-
dc.description.abstractA 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.publisherPACIFIC JOURNAL MATHEMATICS-
dc.titleSEMISIMPLE TUNNELS-
dc.typeArticle-
dc.relation.no1-
dc.relation.volume258-
dc.identifier.doi10.2140/pjm.2012.258.51-
dc.relation.page51-89-
dc.relation.journalPACIFIC JOURNAL OF MATHEMATICS-
dc.relation.code2012207375-
dc.sector.campusS-
dc.sector.daehakCOLLEGE OF EDUCATION[S]-
dc.sector.departmentDEPARTMENT OF MATHEMATICS EDUCATION-
dc.identifier.pidscho-
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COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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