English

Pointed Quandle Coloring Quivers of Linkoids

Algebraic Topology 2025-10-15 v4 Combinatorics Geometric Topology

Abstract

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)(p,2)-torus type with respect to pointed dihedral quandles.

Keywords

Cite

@article{arxiv.2407.21606,
  title  = {Pointed Quandle Coloring Quivers of Linkoids},
  author = {Jose Ceniceros and Max Klivans},
  journal= {arXiv preprint arXiv:2407.21606},
  year   = {2025}
}

Comments

Fixed typos, fixed references