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

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

2011-11-28

arxiv.org/abs/1111.6408v1

Mathematics

Geometric Topology

Scientific paper

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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