一类奇异纽结的着色Jones多项式
Colored Jones Polynomials of a Class of Singular Knots
DOI: 10.12677/pm.2025.157211, PDF,    国家自然科学基金支持
作者: 郭延泽, 李 佳, 冷旭东：辽宁师范大学数学学院，辽宁 大连
关键词: Jones多项式；奇异纽结；排叉结；Jones Polynomial； Singular Knots； Pretzel Knots
摘要: 本文计算了一类m股奇异排叉结的2n着色Jones多项式，该算法的核心技巧在于对Temperley-Lieb代数中的融合、三角等变换的合理运用。
Abstract: This paper computes the 2n-colored Jones polynomial of a class of m-strand singular pretzel links. The core technique of the algorithm lies in the judicious application of fusion, triangular transformations, and related operations in the Temperley-Lieb algebra.
文章引用：郭延泽, 李佳, 冷旭东. 一类奇异纽结的着色Jones多项式[J]. 理论数学, 2025, 15(7): 90-98. https://doi.org/10.12677/pm.2025.157211

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