Bracket Polynomial

Author

Eric W. Weisstein
July 27, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/KnotTheory/BracketPolynomial.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/BracketPolynomial.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialiation

<<Knots`Knots

Trefoil Knot

Expand[(((-(A^3)))^3)KauffmanX[TrefoilKnot,A]]//TraditionalForm

But according to Livingston (1993, p. 218) and Adams (1994, p. 158), it should be

-(A^5)-(A^(-3))+(A^(-7))