DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, DH | ko |
dc.contributor.author | Ko, Ki-Hyoung | ko |
dc.date.accessioned | 2013-03-04T17:52:28Z | - |
dc.date.available | 2013-03-04T17:52:28Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-06 | - |
dc.identifier.citation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.12, no.4, pp.463 - 491 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | http://hdl.handle.net/10203/83520 | - |
dc.description.abstract | A 1-bridge torus knot in a 3-manifold of genus less than or equal to 1 is a knot drawn on a Heegaard torus with one bridge. We give two types of normal forms to parameterize the family of 1-bridge torus knots that are similar to the Schubert's normal form and the Conway's normal form for 2-bridge knots. For a given Schubert's normal form we give algorithms to determine the number of components and to compute the fundamental group of the complement when the normal form determines a knot. We also give a description of the double branched cover of an ambient 3-manifold branched along a 1-bridge torus knot by using its Conway's normal form and obtain an explicit formula for the first homology of the double cover. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | NUMBER ONE KNOTS | - |
dc.subject | BRAID GROUPS | - |
dc.title | Parameterizations of 1-bridge torus knots | - |
dc.type | Article | - |
dc.identifier.wosid | 000184173600003 | - |
dc.identifier.scopusid | 2-s2.0-0042031148 | - |
dc.type.rims | ART | - |
dc.citation.volume | 12 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 463 | - |
dc.citation.endingpage | 491 | - |
dc.citation.publicationname | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.contributor.localauthor | Ko, Ki-Hyoung | - |
dc.contributor.nonIdAuthor | Choi, DH | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | 1-bridge torus knot | - |
dc.subject.keywordAuthor | (1,1)-knot | - |
dc.subject.keywordAuthor | parameterization | - |
dc.subject.keywordAuthor | normal form | - |
dc.subject.keywordAuthor | double branched cover | - |
dc.subject.keywordPlus | NUMBER ONE KNOTS | - |
dc.subject.keywordPlus | BRAID GROUPS | - |
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