The descendant colored Jones polynomials

被引：0

作者：

Garoufalidis, Stavros ^{[1
]}

Kashaev, Rinat ^{[2
]}

机构：

[1] Southern Univ Sci & Technol, Int Ctr Math, Dept Math, Shenzhen, Peoples R China

[2] Univ Geneva, Sect Math, Rue Conseil Gen 7-9, CH-1205 Geneva, Switzerland

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2023年 / 19卷 / 05期

基金：

俄罗斯科学基金会; 瑞士国家科学基金会;

关键词：

knots; Jones polynomial; colored Jones polynomials; Kashaev invariant; Habiro ring; Habiro polynomials; cyclotomic expansion; ADO invariants; descendants; holomorphic quantum modular forms; Volume Conjecture; Quantum Modularity Conjecture; q-holonomic functions; q-hypergeometric functions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2307 / 2334

页数：28

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