Quandle Coloring Quivers of Surface-Links
Abstract
Quandle coloring quivers are directed graph-valued invariants of oriented knots and links, defined using a choice of finite quandle X and set S⊂Hom(X,X) of endomorphisms. From a quandle coloring quiver, a polynomial knot invariant known as the in-degree quiver polynomial is defined. We consider quandle coloring quiver invariants for oriented surface-links, represented by marked graph diagrams. We provide example computations for all oriented surface-links with ch-index up to 10 for choices of quandles and endomorphisms.
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