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math.GT2003
The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot
Razvan Gelca, Jeremy Sain
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…
math.GT2002
The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial
Razvan Gelca, Jeremy Sain
The noncommutative A-ideal of a knot is a generalization of the A-polynomial, defined using Kauffman bracket skein modules. In this paper we show that any knot that has the same no…