尖头 Quandle 染色林科伊德的 Quivers

arXiv - MATH - Geometric Topology Pub Date : 2024-07-31 DOI:arxiv-2407.21606

Jose Ceniceros, Max Klivans

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引用次数: 0

摘要

我们通过使用类似于簇着色簇的簇来增强 linkoids 的尖簇计数不变量。此外，我们还引入了一个新的 linkoid 不变量，我们称之为 "in-degreequiver 多项式矩阵"。最后，我们研究了$(p,2)$-torus 类型的 linkoids 的尖二面曲着色 quiver。

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Pointed Quandle Coloring Quivers of Linkoids

We enhance the pointed quandle counting invariant of linkoids through the use of quivers analogously to quandle coloring quivers. This allows us to generalize the in-degree polynomial invariant of links to linkoids. Additionally, we introduce a new linkoid invariant, which we call the in-degree quiver polynomial matrix. Lastly, we study the pointed quandle coloring quivers of linkoids of $(p,2)$-torus type with respect to pointed dihedral quandles.

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arXiv - MATH - Geometric Topology

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