Research Oriented Knot Theory Topology Math

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.

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Research Oriented


Papers on Knot Theory at arxiv.org. - Search for papers held at LANL with the word 'knot' in them.

• A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links - A research paper describing an algorithm for calculating the HOMFLY research oriented polynomial of directed knots and links. The algorithm has a research oriented better time bound for large links than algorithns that ignore research oriented duplicates. Source code is on the site.
• Mark Brittenham's Papers and Preprints - Research papers on three manifolds, foliations, surgery on knot theory knots.
• Does the Jones Polynomial Detect Unknottedness? - Research paper showing that any knot with trivial Jones polynomial research oriented must have at least 18 crossings. The number of research oriented different Alexander, Homfly and Jones polynomials for knots of up research oriented to 15 crossings is given.[PDF]
• Liverpool University Knot Theory Group - Articles and preprints from 1987 onward. Some are topology available for download in postscript format.
• Knot Theory and Quantum Gravity - 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.
• Knots in Braid Notation - Every knot of up to 11 crossings in research oriented braid notation and every link up to 10 research oriented crossings, compiled by Adam Chalcraft.

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