Realizing Alexander polynomials by hyperbolic links

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dc.contributor.authorStoimenow A.ko
dc.date.accessioned2013-03-08T22:28:40Z-
dc.date.available2013-03-08T22:28:40Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-
dc.identifier.citationEXPOSITIONES MATHEMATICAE, v.28, no.2, pp.133 - 178-
dc.identifier.issn0723-0869-
dc.identifier.urihttp://hdl.handle.net/10203/94501-
dc.description.abstractWe realize a given (monic) Alexander polynomial by a (fibered) hyperbolic arborescent knot and link having any number of components, and by infinitely many such links having at least 4 components. As a consequence, a Mahler measure minimizing polynomial, if it exists, is realized as the Alexander polynomial of a fibered hyperbolic link of at least 2 components. For a given polynomial, we also give an upper bound for the minimal hyperbolic volume of knots/links realizing the polynomial and, in the opposite direction, construct knots of arbitrarily large volume, which are arborescent, or have given free genus at least 2. (C) 2009 Elsevier GmbH. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER GMBH, URBAN & FISCHER VERLAG-
dc.subjectDEHN SURGERY-
dc.subjectPRIME KNOTS-
dc.subjectSURFACES-
dc.subjectGENUS-
dc.subjectCOMPLEMENTS-
dc.subjectINVARIANTS-
dc.subjectGRAPHS-
dc.subjectNUMBER-
dc.subjectVOLUME-
dc.titleRealizing Alexander polynomials by hyperbolic links-
dc.typeArticle-
dc.identifier.wosid000278005700002-
dc.identifier.scopusid2-s2.0-77950340292-
dc.type.rimsART-
dc.citation.volume28-
dc.citation.issue2-
dc.citation.beginningpage133-
dc.citation.endingpage178-
dc.citation.publicationnameEXPOSITIONES MATHEMATICAE-
dc.identifier.doi10.1016/j.exmath.2009.06.003-
dc.contributor.localauthorStoimenow A.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorAlexander polynomial-
dc.subject.keywordAuthorGenus-
dc.subject.keywordAuthorFree genus-
dc.subject.keywordAuthorSlice genus-
dc.subject.keywordAuthorFibered link-
dc.subject.keywordAuthorHyperbolic volume-
dc.subject.keywordAuthorMahler measure-
dc.subject.keywordPlusDEHN SURGERY-
dc.subject.keywordPlusPRIME KNOTS-
dc.subject.keywordPlusSURFACES-
dc.subject.keywordPlusGENUS-
dc.subject.keywordPlusCOMPLEMENTS-
dc.subject.keywordPlusINVARIANTS-
dc.subject.keywordPlusGRAPHS-
dc.subject.keywordPlusNUMBER-
dc.subject.keywordPlusVOLUME-
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