On zeros of the Alexander polynomial of an alternating knot

DOI10.1016/j.topol.2011.09.035zbMath1251.57011arXiv1102.0701OpenAlexW2964044247MaRDI QIDQ649832

Kunio Murasugi, Lilya Lyubich

Publication date: 6 December 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0701

zbMATH Keywords

Alexander polynomialalternating knotstwo-bridge knotsstability of matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Stability of solutions to ordinary differential equations (34D20)

Related Items (11)

ON A GENERALIZATION OF THE KAWAUCHI CONJECTURE ABOUT THE CONWAY POLYNOMIAL OF ACHIRAL KNOTS ⋮ Hoste's conjecture and roots of link polynomials ⋮ Links all of whose cyclic‐branched covers are L‐spaces ⋮ A family of bi-orderable non-fibered 2-bridge knot groups ⋮ 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

Cites Work

• Genus of alternating link types
• Knots.
• Knot cobordism groups in codimension two
• Homogeneous Links
• On a Certain Numerical Invariant of Link Types
• On a Certain Subgroup of the Group of an Alternating Link
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