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

Sakie Suzuki — 2014

Banach Center Publications

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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