The descendant colored Jones polynomials

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-01-30 DOI:10.4310/pamq.2023.v19.n5.a2

Stavros Garoufalidis, Rinat Kashaev

引用次数: 0

Abstract

We discuss two realizations of the colored Jones polynomials of a knot, one appearing in an unnoticed work of the second author in 1994 on quantum R-matrices at roots of unity obtained from solutions of the pentagon identity, and another formulated in terms of a sequence of elements of the Habiro ring appearing in recent work of D. Zagier and the first author on the Refined Quantum Modularity Conjecture.

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后代彩色琼斯多项式

我们讨论了结的彩色琼斯多项式的两种实现方式，一种出现在第二作者 1994 年关于从五边形特性解中获得的统一根量子 R 矩阵的一项未被注意的工作中，另一种则出现在 D. Zagier 和第一作者关于精炼量子模块性猜想的最新工作中，以哈比罗环元素序列的形式制定。

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

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.