Correspondence between TQFT and state sum models?

Correspondence between TQFT and state sum models?

[Hasse Riemann]

 
Hi all categorists
 
Here are other questions i think about and need your help with.
 
2>
Is there a correspondence in general between TQFTs and state sum models?
If not what restrictions are necessary?
 
I think there is a correspondence but i am not sure.
If it is, what is the correspondence then called?
I am als interested in who discovered or proved it and in which year?
 
Also, do anyone have references about how to actually construct the correspondence both ways?

Best regards
Rafael Borowiecki

Re: Correspondence between TQFT and state sum models?

[John Baez]

Rafael Borowiecki writes:

Is there a correspondence in general between TQFTs and state sum models?


There should be a correspondence between *extended* TQFTs and state sum
models.

The theory of extended TQFTs is only beginning to be developed, so this
expected correspondence has not yet been proved.  I recommend taking a look
at this paper:

Jacob Lurie
On the Classification of Topological Field Theories
http://arxiv.org/abs/0905.0465

Best,
jb