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arXiv:1111.6408 [math.GT]AbstractReferencesReviewsResources

On the colored Jones polynomials of ribbon links, boundary links and Brunnian links

Sakie Suzuki

Published 2011-11-28Version 1

Habiro gave principal ideals of Z[q,q^{-1}] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that the same linear combinations for ribbon links, boundary links and Brunnian links are contained in smaller ideals of Z[q,q^{-1}] generated by several elements. In this paper, we prove that these ideals also are principal, each generated by a product of cyclotomic polynomials.

Categories: math.GT, math.QA
Subjects: 57M27, 57M25
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