A zero polynomial of virtual knots
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Jeong, Myeong-Ju | ko |
| dc.date.accessioned | 2016-06-28T02:06:18Z | - |
| dc.date.available | 2016-06-28T02:06:18Z | - |
| dc.date.created | 2016-03-02 | - |
| dc.date.created | 2016-03-02 | - |
| dc.date.issued | 2016-01 | - |
| dc.identifier.citation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.25, no.1 | - |
| dc.identifier.issn | 0218-2165 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/208033 | - |
| dc.description.abstract | In 2013, Cheng and Gao introduced the writhe polynomial of virtual knots and Kauffman introduced the affine index polynomial of virtual knots. We introduce a zero polynomial of virtual knots of a similar type by considering weights of a suitable collection of crossings of a virtual knot diagram. We show that the zero polynomial gives a Vassiliev invariant of degree 1. It distinguishes a pair of virtual knots that cannot be distinguished by the affine index polynomial and the writhe polynomial. | - |
| dc.language | English | - |
| dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
| dc.subject | FINITE-TYPE INVARIANTS | - |
| dc.title | A zero polynomial of virtual knots | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000369540500002 | - |
| dc.identifier.scopusid | 2-s2.0-84955175748 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 25 | - |
| dc.citation.issue | 1 | - |
| dc.citation.publicationname | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
| dc.identifier.doi | 10.1142/S0218216515500789 | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Virtual knot | - |
| dc.subject.keywordAuthor | linking number | - |
| dc.subject.keywordAuthor | Vassiliev invariant | - |
| dc.subject.keywordPlus | FINITE-TYPE INVARIANTS | - |
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