Big data comparison of quantum invariants
Geometric Topology
2025-06-24 v1 Machine Learning
Quantum Algebra
Abstract
We apply big data techniques, including exploratory and topological data analysis, to investigate quantum invariants. More precisely, our study explores the Jones polynomial's structural properties and contrasts its behavior under four principal methods of enhancement: coloring, rank increase, categorification, and leaving the realm of Lie algebras.
Keywords
Cite
@article{arxiv.2503.15810,
title = {Big data comparison of quantum invariants},
author = {Daniel Tubbenhauer and Victor Zhang},
journal= {arXiv preprint arXiv:2503.15810},
year = {2025}
}
Comments
26 pages, many figures, comments welcome