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Quandle coloring quivers of links using dihedral quandles
Journal of Knot Theory and Its Ramifications ( IF 0.5 ) Pub Date : 2021-03-20 , DOI: 10.1142/s0218216521500115
Yuta Taniguchi 1
Affiliation  

Cho and Nelson introduced the notion of a quandle coloring quiver, which is a quiver-valued link invariant. This invariant is in general a stronger link invariant than the quandle coloring number. In this paper, we study quandle coloring quiver using dihedral quandle. We show that when we use a dihedral quandle of prime order, the quandle coloring quivers are equivalent to the quandle coloring numbers. We also discuss shadow versions of their invariants.

中文翻译:

使用二面角四边形为链接的四边形着色箭袋

Cho 和 Nelson 引入了 quandle 着色 quiver 的概念,它是一个 quiver-valued 链接不变量。该不变量通常是比 quadle 着色数更强的链接不变量。在本文中,我们使用二面体 quandle 研究 quandle 着色箭袋。我们表明,当我们使用素数阶的二面体 quandle 时,quandle 着色箭袋等价于 quandle 着色数。我们还讨论了它们不变量的影子版本。
更新日期:2021-03-20
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