On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
Tom 100 / 2014
Banach Center Publications 100 (2014), 213-222
MSC: 57M27, 57M25.
DOI: 10.4064/bc100-0-12
Streszczenie
Habiro gave principal ideals of $\mathbb{Z}[q,q^{-1}]$ 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 $\mathbb{Z}[q,q^{-1}]$ generated by several elements. In this paper, we prove that these ideals also are principal, each generated by a product of cyclotomic polynomials.