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arXiv · 2105.04237

The Word Problem for Braided Monoidal Categories is Unknot-Hard

Antonin Delpeuch·Jamie Vicary
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Abstract

We show that the word problem for braided monoidal categories is at least as hard as the unknotting problem. As a corollary, so is the word problem for Gray categories. We conjecture that the word problem for Gray categories is decidable.

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Antonin Delpeuch, Jamie Vicary. 2021-05-10. The Word Problem for Braided Monoidal Categories is Unknot-Hard. https://doi.org/10.4204/eptcs.372.6

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