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arXiv · 1111.6408

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

Sakie Suzuki
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Abstract

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.

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Sakie Suzuki. 2011-11-28. On the colored Jones polynomials of ribbon links, boundary links and Brunnian links. https://arxiv.org/abs/1111.6408

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