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

Sakie Suzuki. "On the colored Jones polynomials of ribbon links, boundary links and Brunnian links." Banach Center Publications 100.1 (2014): 213-222. <http://eudml.org/doc/281930>.

@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 -