Tutte and Jones polynomials of link families
Slavik Jablan, Ljiljana Radovic, Radmila Sazdanovic
TL;DR
This paper provides general formulas for Tutte and Jones polynomials of knot and link families in Conway notation, along with visual plots of their Jones polynomial zeros, enhancing understanding of their algebraic and geometric properties.
Contribution
It introduces comprehensive formulas for Tutte and Jones polynomials for link families and visualizes zero distributions, advancing knot theory analysis.
Findings
Formulas for Tutte and Jones polynomials for various link families
Plots of Jones polynomial zeros revealing zero distribution patterns
Enhanced tools for analyzing algebraic and geometric properties of links
Abstract
This article contains general formulas for Tutte and Jones polynomials for families of knots and links given in Conway notation and "portraits of families"-- plots of zeroes of their corresponding Jones polynomials.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Supramolecular Self-Assembly in Materials