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Bennequin's inequality and the positivity of the signature

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dc.contributor.authorStoimenow A.ko
dc.date.accessioned2013-03-07T01:40:25Z-
dc.date.available2013-03-07T01:40:25Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2008-
dc.identifier.citationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.360, no.10, pp.5173 - 5199-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10203/89119-
dc.description.abstractWe 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.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.subjectBRAID INDEX-
dc.subjectVASSILIEV INVARIANTS-
dc.subjectALTERNATING KNOTS-
dc.subjectLINK TYPES-
dc.subjectGENUS-
dc.subjectNUMBER-
dc.subjectJONES-
dc.subjectHOMOLOGY-
dc.titleBennequin's inequality and the positivity of the signature-
dc.typeArticle-
dc.identifier.wosid000257249400007-
dc.identifier.scopusid2-s2.0-77951590760-
dc.type.rimsART-
dc.citation.volume360-
dc.citation.issue10-
dc.citation.beginningpage5173-
dc.citation.endingpage5199-
dc.citation.publicationnameTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.1090/S0002-9947-08-04410-3-
dc.contributor.localauthorStoimenow A.-
dc.type.journalArticleArticle-
dc.subject.keywordPlusBRAID INDEX-
dc.subject.keywordPlusVASSILIEV INVARIANTS-
dc.subject.keywordPlusALTERNATING KNOTS-
dc.subject.keywordPlusLINK TYPES-
dc.subject.keywordPlusGENUS-
dc.subject.keywordPlusNUMBER-
dc.subject.keywordPlusJONES-
dc.subject.keywordPlusHOMOLOGY-
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