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A New Knot Invariant

Gordon Chalmers
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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.

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Gordon Chalmers. 2005-03-09. A New Knot Invariant. https://arxiv.org/abs/physics/0503081

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