The intersection polynomials of a virtual knot I: Definitions and calculations
The intersection polynomials of a virtual knot I: Definitions and calculations
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DOI：
10.1512/iumj.2023.72.9599
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发表时间：
2021-02
影响因子：
1.1
通讯作者：
Ryuji Higa;Takuji Nakamura;Yasutaka Nakanishi;S. Satoh
中科院分区：
文献类型：
--
作者：
Ryuji Higa;Takuji Nakamura;Yasutaka Nakanishi;S. Satoh
我们引入虚拟纽结的三种不变量，称为第一、第二和第三交叉多项式。其定义基于闭曲面上一对曲线的交叉数。给出了交叉数至多为4的交叉多项式的计算。我们还研究了交叉多项式的若干性质。
We introduce three kinds of invariants of a virtual knot called the first, second, and third intersection polynomials. The definition is based on the intersection number of a pair of curves on a closed surface. The calculations of intersection polynomials are given up to crossing number four. We also study several properties of intersection polynomials.