南方科技大学知识苑(SUSTech KC): The descendant colored Jones polynomials

题名	The descendant colored Jones polynomials
作者	Garoufalidis, Stavros1 ; Kashaev, Rinat 2
通讯作者	Garoufalidis, Stavros
发表日期	2023
发表期刊	PURE AND APPLIED MATHEMATICS QUARTERLY 影响因子和分区
ISSN	1558-8599
EISSN	1558-8602
卷号	19 期号:5
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.
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.
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
资助项目	Swiss National Science Foundation["200020_192081","200020_200400"] ; Russian Science Foundation[21-41-00018] ; Swiss National Science Foundation (SNF)["200020_200400","200020_192081"]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:001167680400006
出版者	INT PRESS BOSTON, INC
来源库	Web of Science
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/789024
专题	理学院_数学系
作者单位	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
第一作者单位	数学系
通讯作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Garoufalidis, Stavros,Kashaev, Rinat. The descendant colored Jones polynomials[J]. PURE AND APPLIED MATHEMATICS QUARTERLY,2023,19(5).
APA	Garoufalidis, Stavros,&Kashaev, Rinat.(2023).The descendant colored Jones polynomials.PURE AND APPLIED MATHEMATICS QUARTERLY,19(5).
MLA	Garoufalidis, Stavros,et al."The descendant colored Jones polynomials".PURE AND APPLIED MATHEMATICS QUARTERLY 19.5(2023).