TITLE: High dimensional topological field theory
QUESTION [5 upvotes]: In the article Topological Field Theories in 2 dimension, Constantin Teleman has the following commentary " By constrast, in higher dimension, there seem to be no interesting theories: all examples are built from characteristic classes." 
There is any material where I can find these examples?

REPLY [2 votes]: In three dimensions there are Chern-Simons theories which are indeed built from characteristic classes. As a physicist I find them extremely interesting. In four dimensions, we have Dijkgraaf-Witten TQFT and also the Crane-Yetter TQFT, which are constructed using the algebraic data of a premodular ribbon fusion category.