Yarn Ball Knots and Faster Computations
Geometric Topology
2024-01-15 v2
Abstract
We make use of the 3D nature of knots and links to find savings in computational complexity when computing knot invariants such as the linking number and, in general, most finite type invariants. These savings are achieved in comparison with the 2D approach to knots using knot diagrams.
Keywords
Cite
@article{arxiv.2108.10923,
title = {Yarn Ball Knots and Faster Computations},
author = {Dror Bar-Natan and Itai Bar-Natan and Iva Halacheva and Nancy Scherich},
journal= {arXiv preprint arXiv:2108.10923},
year = {2024}
}