论文标题
使用二面形的链接的链接着色箭
Quandle coloring quivers of links using dihedral quandles
论文作者
论文摘要
K. Cho和S. Nelson引入了Quandle Quiver的概念，该Quiver是Quiver值的链接不变性的，并且是一种使用Quandle 2-Cocycle计算的权重，可以增强Quandle Quiver的Quandle Cocycle Quiver。在本文中，我们使用二面形的Quandles研究了Quandle着色箭弹，并介绍了阴影Quandle着色Quiver和Shadow Quandle Cocycle Quiver的概念，它们是Quandle着色Quiver和Quandle Cocycle Quiver的阴影版本。我们表明，当我们使用黄金阶的二面料时，混蛋着色纪颤ivers等同于拼图数字，当我们使用Prime Order的二面式杂物和Mochizuki的3个cocycle时，Shadow Quandle cocycle is cocycle等于阴影杂物旋转coccocycle Invariant。
K. Cho and S. Nelson introduced the notion of a quandle coloring quiver, which is a quiver-valued link invariant, and a quandle cocycle quiver which is an enhancement of the quandle coloring quiver by assigning to each vertex a weight computed using a quandle 2-cocycle. In this paper, we study quandle coloring quivers using dihedral quandles and introduce the notions of a shadow quandle coloring quiver and a shadow quandle cocycle quiver, which are shadow versions of the quandle coloring quiver and the quandle cocycle quiver. We show that, when we use a dihedral quandle of prime order, the quandle coloring quivers are equivalent to the quandle coloring numbers and when we use a dihedral quandle of prime order and Mochizuki's 3-cocycle, the shadow quandle cocycle quivers are equivalent to the shadow quandle cocycle invariants.
