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arXiv · 2309.00708

From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions

Mee Seong Im·Mikhail Khovanov
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Abstract

This is a brief introduction to link homology theories that categorify Reshetikhin--Turaev $\mathsf{SL}(N)$-quantum link invariants. A recently discovered surprising connection between finite state automata and Boolean TQFTs in dimension one is explained as a warm-up.

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Mee Seong Im, Mikhail Khovanov. 2023-09-01. From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions. https://arxiv.org/abs/2309.00708

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