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.
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页码：321 / 345
页数：25
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