Geodesic
Zeros of the Jones polynomial are dense in the complex plane
The electronic journal of combinatorics, Tome 17 (2010)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this paper, we present a formula for computing the Tutte polynomial of the signed graph formed from a labeled graph by edge replacements in terms of the chain polynomial of the labeled graph. Then we define a family of 'ring of tangles' links and consider zeros of their Jones polynomials. By applying the formula obtained, Beraha-Kahane-Weiss's theorem and Sokal's lemma, we prove that zeros of Jones polynomials of (pretzel) links are dense in the whole complex plane.
DOI : 10.37236/366
Classification : 05C10, 05C22, 05C31, 57M15, 82B20
Mots-clés : Tutte polynomial of a signed graph 
@article{10_37236_366,
     author = {Xian'an Jin and Fuji Zhang and Fengming Dong and Eng Guan Tay},
     title = {Zeros of the {Jones} polynomial are dense in the complex plane},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/366},
     zbl = {1230.05110},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/366/}
}
TY  - JOUR
AU  - Xian'an Jin
AU  - Fuji Zhang
AU  - Fengming Dong
AU  - Eng Guan Tay
TI  - Zeros of the Jones polynomial are dense in the complex plane
JO  - The electronic journal of combinatorics
PY  - 2010
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.37236/366/
DO  - 10.37236/366
ID  - 10_37236_366
ER  - 
%0 Journal Article
%A Xian'an Jin
%A Fuji Zhang
%A Fengming Dong
%A Eng Guan Tay
%T Zeros of the Jones polynomial are dense in the complex plane
%J The electronic journal of combinatorics
%D 2010
%V 17
%U http://geodesic.mathdoc.fr/articles/10.37236/366/
%R 10.37236/366
%F 10_37236_366
Xian'an Jin; Fuji Zhang; Fengming Dong; Eng Guan Tay. Zeros of the Jones polynomial are dense in the complex plane. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/366

Cité par Sources :