  |
Knot Theory and Quantum Gravity - http://www.phys.lsu.edu/faculty/pullin
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. |
| |
Liverpool University Knot Theory Group - http://www.liv.ac.uk/~su14/knotprints.html
Articles and preprints from 1987 onward. Some are available for download in postscript format. |
| |
Mark Brittenham's Papers and Preprints - http://www.math.unl.edu/~mbritten/personal/pprdescr.html#perseif
Research papers on three manifolds, foliations, surgery on knots. |
| |
A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links - http://burtleburtle.net/bob/knot/thesis.html
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. |
| |
Does the Jones Polynomial Detect Unknottedness? - http://www.informatik.hu-berlin.de/~hougardy/paper/does_the.pdf
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. |