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<p>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. Finally, we study the pointed quandle coloring quivers of linkoids of (<i>p</i>,&#xa0;2)-torus type with respect to pointed dihedral quandles.</p>

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Pointed Quandle Coloring Quivers of Linkoids

  • 期刊论文

  • 发表日期：

    2025年3月30日

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  • Jose Ceniceros,
  • Max Klivans

摘要

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. Finally, we study the pointed quandle coloring quivers of linkoids of (p, 2)-torus type with respect to pointed dihedral quandles.