Alexander polynomials and hyperbolic volume of arborescent links

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dc.creatorStoimenow, A.
dc.date2007-12-06
dc.date.accessioned2026-07-07T08:47:38Z
dc.date.available2026-07-07T08:47:38Z
dc.descriptionWe realize a given (monic) Alexander polynomial by a (fibered) hyperbolic arborescent knot and link of any number of components, and by infinitely many such links of 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 given polynomial, we give also an upper bound on the minimal hyperbolic volume of knots/links, and contrarily, construct knots of arbitrarily large volume, which are arborescent, or have given free genus at least 2.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0712.0866
dc.identifierhttp://arxiv.org/abs/0712.0866
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143665
dc.subjectGeometric Topology
dc.subject57M25 (Primary); 57M12, 57M50 (Secondary)
dc.titleAlexander polynomials and hyperbolic volume of arborescent links
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