학술논문
From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions
Document Type
Working Paper
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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.
Comment: 40 pages, many figures, corrected minor misprints. To appear in Contemporary Mathematics, conference proceedings "From Representation Theory to Mathematical Physics and Back"
Comment: 40 pages, many figures, corrected minor misprints. To appear in Contemporary Mathematics, conference proceedings "From Representation Theory to Mathematical Physics and Back"