  | | Does the Jones Polynomial Detect Unknottedness?
| Research paper (in postscript format) 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. |
(Added: Sat Sep 06 2003 Votes: 0 Rating:
0.00 Hits: 68) | Rate It | | | | | |  | | Knot Polynomials
| Research paper on a state-space representation of the HOMFLY polynomial, by B. Bollobs, L. Pebody and D. Weinreich. Links to the paper in pdf,dvi and ps formats. |
(Added: Sat Sep 06 2003 Votes: 0 Rating:
0.00 Hits: 57) | Rate It | | | | | |  | | 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. |
(Added: Sat Sep 06 2003 Votes: 0 Rating:
0.00 Hits: 67) | Rate It | | | | | |  | | Knots in Braid Notation
| Listing of every knot of up to 11 crossings in braid notation. Useful for computer calculations in knot theory. |
(Added: Sat Sep 06 2003 Votes: 0 Rating:
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