A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.
Atiyah, ``Topological quantum field theories,'' Inst.\ Hautes \'E tudes Sci.\ Publ.\ Math.\ 68, 175--186 (1988)
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An equivalence theorem for algebraic and functorial QFT
A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.