Virtual links which are equivalent as twisted links
Virtual links which are equivalent as twisted links
复制标题
虚拟链路相当于双绞线
DOI：
10.1090/proc/14899
复制
发表时间：
2020
影响因子：
1
通讯作者：
Kamada Seiichi
中科院分区：
文献类型：
--
作者：
Kamada Naoko;Kamada Seiichi
虚链接是经典链接的推广，经典链接被定义为某些图的等价类，称为虚链接图。它被进一步推广到一个扭曲的链接。扭曲的链接是在一对一的对应关系与稳定的等价类的链接定向加厚（可能是不可定向的）封闭的表面。根据定义，等效虚拟链路也等效为双绞线链路。本文讨论了两条虚链路等价为双绞线的条件，并给出了等价的充分必要条件。引用
A virtual link is a generalization of a classical link that is defined as an equivalence class of certain diagrams, called virtual link diagrams. It is further generalized to a twisted link. Twisted links are in one-to-one correspondence with stable equivalence classes of links in oriented thickenings of (possibly nonorientable) closed surfaces. By definition, equivalent virtual links are also equivalent as twisted links. In this paper, we discuss when two virtual links are equivalent as twisted links, and give a necessary and sufficient condition for this to be the case. References