Micha Breakstone

Abstract: We begin with the basic definitions of a (2+1)-dimensional Topological Quantum Field Theory (TFT) and the inverse limit construction. Then, given a group G, we define a (2+1)-d TFT Z for triangulated manifolds. Using the inverse limit construction we produce a (2+1)-d TFT Z' which is independent of triangulations (Dijkgraaf--Witten theory). In the remainder of the paper we examine the properties of Z', extending it to 2-manifolds with boundary and paying particular attention to the case of the trinion and sphere with four holes.

Keywords: TQFT, inverse limit construction

AMS subject classification: 57M27

Length: 28 pages

Reference: Dissertation sumbitted for Hebrew University Amorim Project (2003)