后代彩色琼斯多项式

Pub Date : 2024-01-30 DOI:10.4310/pamq.2023.v19.n5.a2

Stavros Garoufalidis, Rinat Kashaev

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引用次数: 0

摘要

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。

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The descendant colored Jones polynomials

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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