Knots with Hopf crossing number at most one

zbMath1437.57011arXiv1907.11614MaRDI QIDQ2176808

Maciej Mroczkowski

Publication date: 5 May 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11614

zbMATH Keywords

crossing numberalgebraic knot

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (3)

On two crossing numbers of algebraic knots under Hopf fibration ⋮ Infinitely many roots of unity are zeros of some Jones polynomials ⋮ On some moves on links and the Hopf crossing number

Uses Software

• KnotPlot
• KnotInfo

Cites Work

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• KBSM of the product of a disk with two holes and \(S^1\)
• State models and the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• Shadow links and face models of statistical mechanics
• Algebraic links and the Hopf fibration
• The strong AJ conjecture for cables of torus knots
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• The coloured Jones function and Alexander polynomial for torus knots

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