I believe that the Axioms for TQFT were set out by Atiyah(adsbygoogle = window.adsbygoogle || []).push({});

in 1990 and that one of the equivalent definitions of a TQFT is in

category terms: a TQFT is a functor from the category of n-dimensional cobordisms to the category of Hilbert spaces, satisfying certain conditions.

Is anyone familiar with the category theory definition? If not too convoluted maybe you could run through it?

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# Topological Quantum Field Theory, definition

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