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started Yetter model, still a stub so far. Tim, I trust you will add references?! :-)
I know the Yetter model as such (with a non-discrete 2-group) but that is more recent. I will see what could be added here, but will need to cross check to other possible entries. Is it :
[CY] Crane, L. and Yetter, D.N., “A Categorical Construction of 4D Topological Quantum Field Theories,” in Quantum Topology, Kau
Hi Tim,
I was thinking of
David Yetter, TQFTs from homotopy 2-types , Journal of Knot Theory and its Ramifications 2 (1993), 113-123.
João Faria Martins Tim Porter, On Yetter’s invariants and an extension of the Dijkgraaf-Witten invariant to categorical groups (TAC)
but now I see I should just have said “Yetter model”, not Crane-Yetter. Sorry. I have renamed the entry to Yetter model.
Ah! That explains it. I think I know two other references…. so will add them, giving another example of blatant self advertisement on the web.
I have added to the references at Yetter model the article by Marco Mackay.
Mackay mentions 4-cocycles, but uses them just on a 1-group. Other references that do consider the Yetter model for genuine 2-groups seem to either consider no cocycles or just 3-cocycles.
Is there any references that explicitly talks about the Yetter model for a genuine target 2-type with a non-trivial 4-cocycle on it?
I have cross-linked Yetter model with Turaev-Viro model citing the theorem by Barrett et al that shows that the latter is the boundary theory of the former.
Thanks to Bruce Bartlett for the pointer!
Thanks for catching this. I have now edited the intro (still brief) at Turaev-Viro model a bit more.
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