Cancellations in the Degree of the Colored Jones Polynomial

被引：0

作者：

Lee, Christine Ruey Shan ^{[1
]}

van Der Veen, Roland ^{[2
]}

机构：

[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36608 USA

[2] Univ Groningen, Bernoulli Inst, POB 407,9700, NL-9700 AK Groningen, Netherlands

来源：

ACTA MATHEMATICA VIETNAMICA | 2021年 / 46卷 / 02期

基金：

美国国家科学基金会;

关键词：

Colored Jones polynomial; Pretzel link; Boundary slopes; CONJECTURE; SLOPES;

D O I：

10.1007/s40306-021-00423-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the degree formula in Garoufalidis et al. (Internat. J. Math.31(7):66, 2020). As an application, we determine the degrees of the colored Jones polynomials of a new family of 3-tangle pretzel knots.

引用

页码：321 / 345

页数：25

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