一类链环的HOMFLY多项式
The HOMFLY Polynomials of Class of Links
DOI: 10.12677/AAM.2021.108291, PDF,   
作者: 衣鹏宇：辽宁师范大学数学学院，辽宁 大连
关键词: HOMFLY多项式；排叉结；Brunnian链环；HOMFLY Polynomial； Pretzel Link； Brunnian Link
摘要: 纽结理论是研究绳圈(或多个绳圈)在连续变形下保持不变的特性，而纽结多项式指的是一类以多项式表达的纽结不变量。HOMFLY多项式是继Jones多项式之后，又一个计算纽结的重要的多项式。本文研究一类特殊的Brunnian链环，并给出这类链环的HOMFLY多项式。
Abstract: Knot theory studies the properties of rings (or multiple rings) remaining constant under continuous deformation, while knot polynomials refer to a class of knot invariants expressed in polynomials. The HOMFLY polynomial is another important polynomial after the Jones polynomial to calculate the knot. This paper deals with a special class of Brunnian links and gives their HOMFLY polynomials.
文章引用：衣鹏宇. 一类链环的HOMFLY多项式[J]. 应用数学进展, 2021, 10(8): 2794-2802. https://doi.org/10.12677/AAM.2021.108291

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