DC Field | Value | Language |
---|---|---|
dc.contributor.author | Stoimenow A. | ko |
dc.date.accessioned | 2013-03-07T01:40:25Z | - |
dc.date.available | 2013-03-07T01:40:25Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.360, no.10, pp.5173 - 5199 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/89119 | - |
dc.description.abstract | We use an algorithm for special diagrams to prove a Bennequin type inequality for the signature of an arbitrary link diagram, related to its Murasugi sum decomposition. We apply this inequality to show that the signature of a non-trivial positive 3-braid knot is greater than its genus, and that the signature of a positive braid link is minorated by an increasing function of its negated Euler characteristic. The latter property is conjectured to extend to positive links. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.subject | BRAID INDEX | - |
dc.subject | VASSILIEV INVARIANTS | - |
dc.subject | ALTERNATING KNOTS | - |
dc.subject | LINK TYPES | - |
dc.subject | GENUS | - |
dc.subject | NUMBER | - |
dc.subject | JONES | - |
dc.subject | HOMOLOGY | - |
dc.title | Bennequin's inequality and the positivity of the signature | - |
dc.type | Article | - |
dc.identifier.wosid | 000257249400007 | - |
dc.identifier.scopusid | 2-s2.0-77951590760 | - |
dc.type.rims | ART | - |
dc.citation.volume | 360 | - |
dc.citation.issue | 10 | - |
dc.citation.beginningpage | 5173 | - |
dc.citation.endingpage | 5199 | - |
dc.citation.publicationname | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1090/S0002-9947-08-04410-3 | - |
dc.contributor.localauthor | Stoimenow A. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | BRAID INDEX | - |
dc.subject.keywordPlus | VASSILIEV INVARIANTS | - |
dc.subject.keywordPlus | ALTERNATING KNOTS | - |
dc.subject.keywordPlus | LINK TYPES | - |
dc.subject.keywordPlus | GENUS | - |
dc.subject.keywordPlus | NUMBER | - |
dc.subject.keywordPlus | JONES | - |
dc.subject.keywordPlus | HOMOLOGY | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.