New Polynomial Decategorifications of the Quandle Coloring Quiver
Geometric Topology
2025-08-18 v2 Quantum Algebra
Abstract
We introduce two new families of polynomial invariants of oriented classical and virtual knots and links defined as decategorfications of the quandle coloring quiver. We provide examples to illustrate the computation of the invariants, show that they are not determined by the quandle counting invariant, and compute tables of invariants values for some small quandles.
Cite
@article{arxiv.2504.14387,
title = {New Polynomial Decategorifications of the Quandle Coloring Quiver},
author = {Anusha Kabra and Sam Nelson},
journal= {arXiv preprint arXiv:2504.14387},
year = {2025}
}
Comments
9 pages. Version 2 includes typo corrections suggested by the referee