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Topological Quantum Field Theory, definition

  1. Nov 21, 2003 #1

    marcus

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    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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  3. Nov 21, 2003 #2

    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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