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arxiv: 1904.09207 · v1 · pith:N6TNXT5Pnew · submitted 2019-04-19 · 🧮 math.GT

Quandle Cocycle Quivers

classification 🧮 math.GT
keywords quandlecocyclequiversdefineinvariantinvariantsarxivcall
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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.

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