论文标题
多开关和虚拟结
Multi-switches and virtual knot invariants
论文作者
论文摘要
在本文中,我们介绍了一种通用方法,如何在代数系统上使用代数系统$ x $(来自某些类别)和给定的虚拟链接$ l $构建代数系统$ x_ {s,v}(l)$(来自同一类别)的代数系统$ x $(来自某些类别)如何在代数系统上$ x $(来自某些类别)中的一般方法。作为推论,我们为虚拟链接引入了一个新的Quandle不变性,该链接概括了以前已知的虚拟链接中的不变性。
In the paper we introduce a general approach how for a given virtual biquandle multi-switch $(S,V)$ on an algebraic system $X$ (from some category) and a given virtual link $L$ construct an algebraic system $X_{S,V}(L)$ (from the same category) which is an invariant of $L$. As a corollary we introduce a new quandle invariant for virtual links which generalizes previously known quandle invariants for virtual links.