The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot

Details The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot

2003-01-24

arxiv.org/abs/math/0301287v1

Mathematics

Geometric Topology

21 pages, 12 figures

Scientific paper

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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