The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot
arXiv:math/0301287
Abstract
The paper contains the computation of the noncommutative A-ideal of the figure-eight knot, a noncommutative generalization of the A-polynomial. We show that if a knot has the same noncommutative A-ideal as the figure-eight knot, then all colored Kauffman brackets are the same as those of the figure-eight knot.
21 pages, 12 figures