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8
votes
Accepted
Is Turaev-Viro-Barrett-Westbury stronger than homotopy?
I think the following example seems to work: consider a special class of TVBW, the Dijkgraaf-Witten invariant whose input are a finite $G$ and a 3-cocycle from $H^3(G, C^*)$ (together they define a sp …
9
votes
Lagrangian of Reshetikhin-Turaev TFT's
It's an open conjecture by Moore and Seiberg (originally in the context of conformal field theory) that every MTC can be obtained from Chern-Simons theory of simple Lie groups with known constructions …