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

• Autorzy: Sakie Suzuki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds
• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 100
• Numer: 1
• Strony: 213-222

Daty

wydano

2014

Twórcy

autor

Sakie Suzuki

• Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

Identyfikatory

DOI

10.4064/bc100-0-12