136 Pages
by
Chapman & Hall
136 Pages
by
Chapman & Hall
Also available as eBook on:
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 Quantum Field Theories from Subfactors provides a... Read more
Preface -- 1 Preliminaries on TQFTs -- 1.1 Introduction -- 1.2 Quantisation factors -- 1.3 Fusion algebras -- 2 The invariant -- 2.1 The construction -- 2.2 Invariance -- 3 von Neumann algebras -- 3.1 Preliminaries on II1 factors -- 3.2 Bases and M-valued inner products -- 3.3 Contragredients and tensor products -- 3.4 Frobenius reciprocity -- 3.5 TQFTs from subfactors -- 4 The group example -- 4.1 The TQFT -- 4.2 The quantum double -- A Appendix -- A .l Some topological preliminaries -- A.2 Simplicial complexes -- Bibliography -- Index.
Biography
Kodiyalam, Vijay
