A New Knot Invariant

Abstract

A polynomial is presented that models a topological knot in a unique manner. It distinguishes all types of knots including the orientation and has a group theory interpretation. The topologies may be labeled via a number, which upon a base 2 expansion generate the polynomial; the equivalent numbers via Reidemeister moves are grouped into a superset polynomial with coefficients labeling the equivalent knots.

8 pages, LaTeX

Cited by in corpus (4)

• Integer and Rational Solutions to Polynomial Equations
• Knots and Polytopes
• Very Compact Expressions for Amplitudes
• Algebraic and Polytopic Formulation to Cohomology