On the potential function of the colored Jones polynomial with arbitrary colors

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2022-07-03 DOI:10.2140/pjm.2023.322.171

Shun Sawabe

引用次数: 1

Abstract

We consider the potential function of the colored Jones polynomial for a link with arbitrary colors and obtain the cone-manifold structure for the link complement. In addition, we establish a relationship between a saddle point equation and hyperbolicity of the link complement. This provides evidence for the Chen-Yang conjecture on the link complement.

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任意颜色的有色琼斯多项式的势函数

考虑任意颜色连杆的有色琼斯多项式的势函数，得到了连杆补的锥流形结构。此外，我们还建立了鞍点方程与连杆补的双曲度之间的关系。这为陈阳关于链接补的猜想提供了证据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.