Quandle cocycle quivers
Copyright policy )Quandle cocycle quivers
We incorporate quandle cocycle information into the quandle coloring quivers we defined in arXiv:1807.10465 to define weighted directed graph-valued invariants of oriented links we call \textit{quandle cocycle quivers}. This construction turns the quandle cocycle invariant into a small category, yielding a categorification of the quandle cocycleinvariant. From these graphs we define several new link invariants including a 2-variable polynomial which specializes to the usual quandle cocycle invariant. Examples and computations are provided.
9 pages
- Stony Brook University United States
- Claremont McKenna College United States
Mathematics - Geometric Topology, Generalized knots (virtual knots, welded knots, quandles, etc.), quandles, cocycle enhancements, quivers, colorings, enhancements, 57M25, 57M27, FOS: Mathematics, Knot theory, Geometric Topology (math.GT)
Mathematics - Geometric Topology, Generalized knots (virtual knots, welded knots, quandles, etc.), quandles, cocycle enhancements, quivers, colorings, enhancements, 57M25, 57M27, FOS: Mathematics, Knot theory, Geometric Topology (math.GT)
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