FQFT and cohomology
Types of quantum field thories
The Turaev-Viro model is a 3-dimensional topological quantum field theory construction induced from a modular tensor category. It is something like the “norm square” of the Reshetikhin-Turaev construction on .
The original article is
V. G. Turaev and O. Ya. Viro, State sum invariants of 3-manifolds and quantum 6jsymbols, Topology 31 (1992), no. 4, 865–902, DOI 10.1016/0040-9383(92)90015-A. MR1191386 (94d:57044
Refinement of the construction to an extended TQFT is in
and references cited there.
A relation to the Levin-Wen model is discussed in