A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS

Miyazawa Y

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A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS

机译：虚拟结和链接的多变量多项式不变性

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摘要

We construct a multi-variable polynomial invariant for virtual knots and links via the concept of a decorated virtual magnetic graph diagram. The invariant is a generalization of the Jones-Kauffman polynomial for virtual knots and links. We show some features of the invariant including an evaluation of the virtual crossing number of a virtual knot or link.

机译：我们通过装饰虚拟磁图的概念为虚拟结和链接构造了一个多元变量多项式不变式。不变式是琼斯-考夫曼多项式对虚拟结和链接的推广。我们显示了不变量的一些特征，包括对虚拟结或链接的虚拟穿越数的评估。

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来源
《Journal of knot theory and its ramifications》 |2008年第11期|共16页
作者
Miyazawa Y;
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原文格式 PDF
正文语种 eng
中图分类拓扑（形势几何学）;
关键词
Virtual knot; VMG diagram; polynomial invariant; virtual crossing number;

机译：虚拟结;VMG图;多项式不变;虚拟穿越数;

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专利

1. A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR UNORIENTED VIRTUAL KNOTS AND LINKS [J] . Miyazawa Y Journal of knot theory and its ramifications . 2009,第5期

机译：未知虚拟结点和链接的多元多项式不变性
2. A PARITY AND A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL LINKS [J] . YOUNG HO IM, KYOUNG IL PARK Journal of knot theory and its ramifications . 2013,第13期

机译：虚拟链接的奇偶性和多变量多项式不变性
3. Multi-variable polynomial invariants for virtual links [J] . Vassily O. Manturov Journal of knot theory and its ramifications . 2003,第8期

机译：虚拟链接的多变量多项式不变量
4. Finding non-polynomial positive invariants and lyapunov functions for polynomial systems through Darboux polynomials [C] . Goubault Eric, Jourdan Jacques-Henri, Putot Sylvie, American Control Conference . 2014

机译：通过Darboux多项式找到多项式系统的非多项式正不变量和lyapunov函数
5. Polynomial invariants of periodic knots [D] . Yokota Yoshiyuki 1992

机译：周期结的多项式不变量
6. A Knot Polynomial Invariant for Analysis of Topology of RNA Stems and Protein Disulfide Bonds [O] . Wei Tian, Xue Lei, Louis H. Kauffman, -1

机译：用于分析RNA茎和蛋白质二硫键拓扑的结多项式不变量
7. Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants [O] . Kirandeep Kaur, Madeti Prabhakar, Andrei Vesnin 2018

机译：平面虚拟结不变的虚拟结的两个可变多项式不变

A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS

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