Knitting Knots & the Framing Anomaly
History and Overview
2022-11-01 v1 High Energy Physics - Theory
Abstract
We study the twisting fault emerging in circular knitting and its relation to the mathematical concepts of framing curves and the Gauss linking integral. We create three knitted bands with framing zero, one, and negative two, and use three different techniques to compute the framing using the Gauss linking integral. We also briefly mention the connection to in Chern-Simons gauge theory.
Keywords
Cite
@article{arxiv.2210.16677,
title = {Knitting Knots & the Framing Anomaly},
author = {Nadav Drukker and Elise Paznokas and Dominik Schrimpel},
journal= {arXiv preprint arXiv:2210.16677},
year = {2022}
}
Comments
8 pages; Work presented at the Bridges Math-Art conference, Aalto University, Helsinki