一类3-缠绕的Jones多项式  

The Jones Polynomials of a Class of 3-Tangles

作　　者：杨晓雨 

机构地区：[1]辽宁师范大学,辽宁 大连

出　　处：《应用数学进展》2022年第10期7325-7333,共9页Advances in Applied Mathematics

摘　　要：选定了3-缠绕的一种定向方式,结合Giller的房间理论给出任意两个3-缠绕的复合的Jones多项式。接着,通过研究计算得到了一类特殊3-缠绕的Jones多项式的递推公式以及由其闭包所形成的链环的Jones多项式。An unusual orientation of 3-tangles is given, and the Jones polynomial of the concatenation of two 3-tangles is given by Giller’s room theory. Then, the recursion formula of the Jones polynomials of a special kind of 3-tangles is obtained by studying and calculating. In addition, the formula to obtain the Jones polynomial of the links obtained from their closure is given.

关 键 词：JONES多项式 不变量 3-缠绕 

分 类 号：O174.14[理学—数学]