论文标题
$ 2 $ - 组件虚拟链接的分类最多$ξ$ -moves
Classification of $2$-component virtual links up to $Ξ$-moves
论文作者
论文摘要
$ξ$ -MOVE是虚拟结理论中禁止的动作产生的本地动作。这一举动是由塔尼古奇（Taniguchi）和第二位作者介绍的，他表明它是虚拟结的奇怪扭曲，这是考夫曼（Kauffman）定义的基本不变。在本文中，我们通过使用奇数writhe和链接数字的改进来将$ 2 $ - 组件虚拟链接分类为$ 2 $ - 组件虚拟链接来扩展此结果。
The $Ξ$-move is a local move generated by forbidden moves in virtual knot theory. This move was introduced by Taniguchi and the second author, who showed that it characterizes the odd writhe of virtual knots, which is a fundamental invariant defined by Kauffman. In this paper, we extend this result by classifying $2$-component virtual links up to $Ξ$-moves, using refinements of the odd writhe and linking numbers.
