**Micha Breakstone**

Undergraduate Research Project: Exploring a (2+1)-dimensional Topological Quantum Field Theory

**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)
**

*Last updated February 21st, 2001.*

ruthel@math.huji.ac.il