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arXiv:math/0301287 [math.GT]AbstractReferencesReviewsResources

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

Razvan Gelca, Jeremy Sain

Published 2003-01-24Version 1

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.

Comments: 21 pages, 12 figures
Categories: math.GT, math.QA
Subjects: 57M27
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