Topological Quantum Field Theory, definition

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marcus
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Main Question or Discussion Point

I believe that the Axioms for TQFT were set out by Atiyah
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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marcus
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Baez page on TQFT

In case anyone's interested here's a Baez page

http://math.ucr.edu/home/baez/planck/node3.html

it basically says the same thing, a top quant. field theory
is a functor from cobordisms to the category of hilbertspaces
 

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