A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and links. The algorithm has a better time bound for large links than algorithns that ignore duplicates. Source code is on the site.
Articles and preprints from 1987 onward. Some are available for download in postscript format.
Quantizing general relativity brings knot theory into quantum gravity. The Jones polynomial is shown to give rise to physical states of quantum gravity. Links to research papers by the author.
Research papers on three manifolds, foliations, surgery on knots.
Search for papers held at LANL with the word 'knot' in them.
Research paper on a state-space representation of the HOMFLY polynomial, by B. Bollobás, L. Pebody and D. Weinreich. Links to the paper in pdf,dvi and ps formats.
Research paper showing that any knot with trivial Jones polynomial must have at least 18 crossings. The number of different Alexander, Homfly and Jones polynomials for knots of up to 15 crossings is given.
Every knot of up to 11 crossings in braid notation and every link up to 10 crossings, compiled by Adam Chalcraft.
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