The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot
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knotfigure-eightnoncommutativea-ideala-polynomialcomputationgeneralizationsame
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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.
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