SL(2, C)-TOPOLOGICAL QUANTUM FIELD THEORY WITH CORNERS

In this paper we define the sl(2, C) topological quantum field theory with corners that corresponds to the smooth theory of Reshetikhin and Turaev. We encounter a sign obstruction at the level of the modular functor, which we solve by making use of the Klein four group. We deduce the Moore-Seiberg equations in the new context.