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arXiv · 2108.10923

Yarn Ball Knots and Faster Computations

Dror Bar-Natan·Itai Bar-Natan·Iva Halacheva·Nancy Scherich
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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.

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Dror Bar-Natan, Itai Bar-Natan, Iva Halacheva, Nancy Scherich. 2024-01-12. Yarn Ball Knots and Faster Computations. https://arxiv.org/abs/2108.10923

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