DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ko, Ki-Hyoung | ko |
dc.contributor.author | Song, WT | ko |
dc.date.accessioned | 2013-03-06T13:03:16Z | - |
dc.date.available | 2013-03-06T13:03:16Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2007-01 | - |
dc.identifier.citation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.16, no.1, pp.45 - 57 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | http://hdl.handle.net/10203/87048 | - |
dc.description.abstract | We characterize the Seifert matrices of periodic knots in S-3 up to S-equivalence. Given a periodic knot we construct an equivariant spanning surface F and choose a basis for H-1(F) in such a way that the Seifert matrix has a special form exhibiting the periodicity. Conversely, given such a Seifert matrix we construct a periodic knot that realizes it. We exhibit the decomposition of H-1(F; C) into eigenspaces of the periodic action, orthogonal to each other with respect to the Seifert pairing. Consequently we obtain Murasugi's formula for the Alexander polynomial of the periodic knot. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | POLYNOMIALS | - |
dc.title | Seifert matrices of periodic knots | - |
dc.type | Article | - |
dc.identifier.wosid | 000250864100003 | - |
dc.identifier.scopusid | 2-s2.0-33847107527 | - |
dc.type.rims | ART | - |
dc.citation.volume | 16 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 45 | - |
dc.citation.endingpage | 57 | - |
dc.citation.publicationname | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.identifier.doi | 10.1142/S021821650700518X | - |
dc.contributor.localauthor | Ko, Ki-Hyoung | - |
dc.contributor.nonIdAuthor | Song, WT | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | periodic knot | - |
dc.subject.keywordAuthor | Seifert matrix | - |
dc.subject.keywordAuthor | Alexander polynomial | - |
dc.subject.keywordPlus | POLYNOMIALS | - |
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