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

Tom 100 / 2014

Sakie Suzuki 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.

Autorzy

  • Sakie SuzukiResearch Institute for Mathematical Sciences
    Kyoto University
    Kyoto, 606-8502, Japan
    e-mail

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