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Volume 31, Issue 2
Zeros Distribution of the Jones Polynomial for Pretzel Links

Youfa Han, Dongyue Huang, Linlin Wang & Xiaosha Ma

DOI: 10.13447/j.1674-5647.2015.02.05

Commun. Math. Res., 31 (2015), pp. 141-148.

Published online: 2021-05

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  • Abstract

In this paper, we deal with basic properties of some pretzel links and properties of the Jones polynomials of some pretzel links. By using these properties, the zero distribution of pretzel links is studied. We discuss the properties of the Jones polynomial of non-tame pretzel links and give that zeros of the Jones polynomial of these pretzel links are distributed on the planar curves.

  • Keywords

Jones polynomial, zero, pretzel link.

  • AMS Subject Headings

57M15, 57M25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-141, author = {Han , YoufaHuang , DongyueWang , Linlin and Ma , Xiaosha}, title = {Zeros Distribution of the Jones Polynomial for Pretzel Links}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {2}, pages = {141--148}, abstract = {

In this paper, we deal with basic properties of some pretzel links and properties of the Jones polynomials of some pretzel links. By using these properties, the zero distribution of pretzel links is studied. We discuss the properties of the Jones polynomial of non-tame pretzel links and give that zeros of the Jones polynomial of these pretzel links are distributed on the planar curves.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.05}, url = {http://global-sci.org/intro/article_detail/cmr/18937.html} }
TY - JOUR T1 - Zeros Distribution of the Jones Polynomial for Pretzel Links AU - Han , Youfa AU - Huang , Dongyue AU - Wang , Linlin AU - Ma , Xiaosha JO - Communications in Mathematical Research VL - 2 SP - 141 EP - 148 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.02.05 UR - https://global-sci.org/intro/article_detail/cmr/18937.html KW - Jones polynomial, zero, pretzel link. AB -

In this paper, we deal with basic properties of some pretzel links and properties of the Jones polynomials of some pretzel links. By using these properties, the zero distribution of pretzel links is studied. We discuss the properties of the Jones polynomial of non-tame pretzel links and give that zeros of the Jones polynomial of these pretzel links are distributed on the planar curves.

Han , YoufaHuang , DongyueWang , Linlin and Ma , Xiaosha. (2021). Zeros Distribution of the Jones Polynomial for Pretzel Links. Communications in Mathematical Research . 31 (2). 141-148. doi:10.13447/j.1674-5647.2015.02.05
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