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

Published 1 Sep 2023 in math.QA, cs.FL, math-ph, math.CT, math.MP, and math.RT | (2309.00708v2)

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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