FQFT and cohomology
Types of quantum field thories
if the MTC is equivalent to a representation category of a vertex operator algebra, one can construct an identification of the linear map assigned by the construction to a surface to an element in the space of conformal blocks of that surface.
A brief summary on a few pages is in
For a list of references see
A survey of the central theorem that the FRS construction solves the sewing constraints is at
and a discussion of the converse, that every rarional 2-d CT is obtained this way is at