I once tried myself on collecting a reading list, or at least a reference list at
("FQFT" for "Functorial QFT" as opposed to other fomalizationformalization approaches likeslike "algebraic" QFT, which have not been applied that much to the topological case).
This also points to more introductory stuff by John Baez, if that's a selling point, namely to his article "Quanmtum quandaries""Quantum quandaries" with is one of the best exposuitionsexpositions for why that idea of representations of cobordisms categories is a good one in the first place.
But it also contains links to (some of) the historical articles and then to those describing further development, trying to put it all in a big picture.