dorsal/arxiv
View SchemaA New Knot Invariant
| Authors | Gordon Chalmers |
|---|---|
| Categories | |
| ArXiv ID | physics/0503081 |
| URL | https://arxiv.org/abs/physics/0503081 |
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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"abstract": "A polynomial is presented that models a topological knot in a unique manner.\nIt distinguishes all types of knots including the orientation and has a group\ntheory interpretation. The topologies may be labeled via a number, which upon a\nbase 2 expansion generate the polynomial; the equivalent numbers via\nReidemeister moves are grouped into a superset polynomial with coefficients\nlabeling the equivalent knots.",
"arxiv_id": "physics/0503081",
"authors": [
"Gordon Chalmers"
],
"categories": [
"physics.gen-ph"
],
"title": "A New Knot Invariant",
"url": "https://arxiv.org/abs/physics/0503081"
},
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