论文标题
地表链接的Quandle着色QUIVERS
Quandle Coloring Quivers of Surface-Links
论文作者
论文摘要
Quandle着色Quivers是定向结和链接的指向图形值,并使用有限的Quandle $ x $定义,并设置$ s \ subset \ subset \ mathrm {hom}(x,x,x)$的内态形态。从一个难题的着色箭中,定义了一个多项式结不变式,称为\ textIt {degrey Quiver多项式}。我们考虑以标记图表表示定向的表面链接的Quandle着色颤动不变。我们为所有定向的表面链接提供了示例计算,其中CH-INDEX最高10个,以进行10次选择。
Quandle coloring quivers are directed graph-valued invariants of oriented knots and links, defined using a choice of finite quandle $X$ and set $S\subset\mathrm{Hom}(X,X)$ of endomorphisms. From a quandle coloring quiver, a polynomial knot invariant known as the \textit{in-degree quiver polynomial} is defined. We consider quandle coloring quiver invariants for oriented surface-links, represented by marked graph diagrams. We provide example computations for all oriented surface-links with ch-index up to 10 for choices of quandles and endomorphisms.