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2006 Euclidean Mahler measure and twisted links
Daniel S Silver, Alexander Stoimenow, Susan G Williams
Algebr. Geom. Topol. 6(2): 581-602 (2006). DOI: 10.2140/agt.2006.6.581

Abstract

If the twist numbers of a collection of oriented alternating link diagrams are bounded, then the Alexander polynomials of the corresponding links have bounded euclidean Mahler measure (see Definition 1.2). The converse assertion does not hold. Similarly, if a collection of oriented link diagrams, not necessarily alternating, have bounded twist numbers, then both the Jones polynomials and a parametrization of the 2–variable Homflypt polynomials of the corresponding links have bounded Mahler measure.

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Daniel S Silver. Alexander Stoimenow. Susan G Williams. "Euclidean Mahler measure and twisted links." Algebr. Geom. Topol. 6 (2) 581 - 602, 2006. https://doi.org/10.2140/agt.2006.6.581

Information

Received: 26 March 2005; Accepted: 15 March 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1096.57013
MathSciNet: MR2220690
Digital Object Identifier: 10.2140/agt.2006.6.581

Subjects:
Primary: 57M25
Secondary: 37B40

Rights: Copyright © 2006 Mathematical Sciences Publishers

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