Quandle Cohomology Quiver Representations
Geometric Topology
2024-12-24 v2 Quantum Algebra
Abstract
We define a family of quiver representation-valued invariants of oriented classical and virtual knots and links associated to a choice of finite quandle , abelian group , set of quandle 2-cocycles , choice of coefficient ring and set of quandle endomorphisms . From this representation we define four new polynomial (or ``polynomial'' depending on ) invariants. We generalize to the case of biquandles and compute some examples.
Cite
@article{arxiv.2411.02153,
title = {Quandle Cohomology Quiver Representations},
author = {Sam Nelson},
journal= {arXiv preprint arXiv:2411.02153},
year = {2024}
}
Comments
15 pages. Version 2 includes expanded proofs and typo corrections