On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
Sakie Suzuki
Banach Center Publications, Tome 102 (2014), p. 213-222 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281930 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-12,
     author = {Sakie Suzuki},
     title = {On the colored Jones polynomials of ribbon links, boundary links and Brunnian links},
     journal = {Banach Center Publications},
     volume = {102},
     year = {2014},
     pages = {213-222},
     zbl = {1288.57013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-12}
}

Sakie Suzuki. On the colored Jones polynomials of ribbon links, boundary links and Brunnian links. Banach Center Publications, Tome 102 (2014) pp. 213-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-12/