Quandle Cocycle Quivers
Geometric Topology
2019-04-22 v1
Abstract
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.
Cite
@article{arxiv.1904.09207,
title = {Quandle Cocycle Quivers},
author = {Karina Cho and Sam Nelson},
journal= {arXiv preprint arXiv:1904.09207},
year = {2019}
}
Comments
9 pages