Hoste's conjecture and roots of link polynomials

DOI10.1007/s00026-018-0389-xzbMath1397.57019OpenAlexW2800030835WikidataQ123141163 ScholiaQ123141163MaRDI QIDQ1653318

Alexander Stoimenow

Publication date: 3 August 2018

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-018-0389-x

zbMATH Keywords

Alexander polynomialpolynomial rootalternating knot3-braid link2-bridge knotMontesinos knotrational knotskein polynomialLimaçon of Pascal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items

Hoste’s conjecture for the 2-bridge knots, On Alexander-Conway polynomials of two-bridge links, Hoste’s conjecture for generalized Fibonacci polynomials, Quandle coloring conditions and zeros of the Alexander polynomials of Montesinos links, Alternating knots with Alexander polynomials having unexpected zeros, Signature, positive Hopf plumbing and the Coxeter transformation (With appendix by Peter Feller and Livio Liechti), Independence polynomials and Alexander-Conway polynomials of plumbing links

Uses Software

• Knotscape

Cites Work

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• On Alexander-Conway polynomials of two-bridge links
• On zeros of the Alexander polynomial of an alternating knot
• Knoten mit zwei Brücken
• On the genus of the alternating knot. II
• Newton-like polynomials of links
• Realizing Alexander polynomials by hyperbolic links
• Zeros of the Jones polynomial are dense in the complex plane
• 5-moves and Montesinos links
• Das Alexanderpolynom der Knoten mit zwei Brücken
• A polynomial invariant of oriented links
• Genus of alternating link types
• On the divisibility of knot groups
• Some links with non-trivial polynomials and their crossing-numbers
• Burau representation and random walks on string links
• Alexander polynomials of alternating knots of genus two
• The arithmetic and geometry of Salem numbers
• Coefficients and non-triviality of the Jones polynomial
• Diagram genus, generators and applications
• Knots of (canonical) genus two
• Seifert circles and knot polynomials
• The Lehmer Polynomial and Pretzel Links
• The skein polynomial of closed 3-braids
• On orderability of fibred knot groups
• Mahler Measure of Alexander Polynomials
• ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II
• Application of braiding sequences III: Concordance of positive knots
• Properties of Closed 3-Braids and Braid Representations of Links
• LOG-CONCAVITY AND ZEROS OF THE ALEXANDER POLYNOMIAL
• Lehmer's Question, Knots and Surface Dynamics