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Quandle coloring quivers of surface-links
Journal of Knot Theory and Its Ramifications ( IF 0.3 ) Pub Date : 2021-02-20 , DOI: 10.1142/s0218216521500024
Jieon Kim 1, 2 , Sam Nelson 1, 2 , Minju Seo 1, 2
Affiliation  

Quandle coloring quivers are directed graph-valued invariants of oriented knots and links, defined using a choice of finite quandle [Formula: see text] and set [Formula: see text] of endomorphisms. From a quandle coloring quiver, a polynomial knot invariant known as the 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.

中文翻译:

表面链接的Quandle着色颤动

Quandle 着色箭袋是定向结和链接的有向图值不变量,使用自同态的有限 quandle [公式:参见文本] 和集合 [公式:参见文本] 的选择来定义。从 quandle 着色箭袋,定义了称为入度箭袋多项式的多项式结不变量。我们考虑了面向表面链接的 quandle 着色颤动不变量,由标记的图表表示。我们为 ch-index 高达 10 的所有定向表面链接提供示例计算,以选择 quandles 和自同态。
更新日期:2021-02-20
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