ABSTRACT

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible.

Topological Quant

chapter Chapter 1|26 pages

Preliminaries on TQFTs

chapter Chapter 2|23 pages

The invariant

chapter Chapter 3|47 pages

von Neumann algebras

chapter Chapter 4|12 pages

The group example