@article{SakieSuzuki2014,
abstract = {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.},
author = {Sakie Suzuki},
journal = {Banach Center Publications},
keywords = {coloured Jones polynomial; ribbon links; boundary links; Brunnian links; cyclotomic polynomials},
language = {eng},
number = {1},
pages = {213-222},
title = {On the colored Jones polynomials of ribbon links, boundary links and Brunnian links},
url = {http://eudml.org/doc/281930},
volume = {100},
year = {2014},
}
TY - JOUR
AU - Sakie Suzuki
TI - On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
JO - Banach Center Publications
PY - 2014
VL - 100
IS - 1
SP - 213
EP - 222
AB - 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.
LA - eng
KW - coloured Jones polynomial; ribbon links; boundary links; Brunnian links; cyclotomic polynomials
UR - http://eudml.org/doc/281930
ER -
