Quandle coloring quivers and 2-bridge links
Tirasan Khandhawit, Korn Kruaykitanon, Puttipong Pongtanapaisan
TL;DR
This paper computes quandle coloring quivers for 2-bridge links using dihedral quandles, demonstrating that these invariants can provide richer information than traditional quandle enhancements.
Contribution
It introduces the computation of quandle coloring quivers for 2-bridge links with dihedral quandles, expanding the understanding of quandle invariants.
Findings
Quandle coloring quivers can distinguish 2-bridge links more effectively.
The paper provides explicit computations of quiver invariants for specific links.
Quandle coloring quivers serve as a categorification of coloring numbers.
Abstract
The quandle coloring quiver was introduced by Cho and Nelson as a categorification of the quandle coloring number. In some cases, it has been shown that the quiver invariant offers more information than other quandle enhancements. In this paper, we compute the quandle coloring quivers of 2-bridge links with respect to the dihedral quandles.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Quantum many-body systems