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arXiv · 2210.16677

Knitting Knots & the Framing Anomaly

Nadav Drukker·Elise Paznokas·Dominik Schrimpel
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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.

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Nadav Drukker, Elise Paznokas, Dominik Schrimpel. 2022-10-29. Knitting Knots & the Framing Anomaly. https://arxiv.org/abs/2210.16677

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