2005/03/09 by Gordon Chalmers, Chalmers, Gordon · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0503081
8 pages, LaTeX
arxiv created 2005/03/09 · arxiv updated 2009/12/01
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.