Topological Quantum Field Theories from Subfactors

ISBN-13: 9781138442108 / Angielski / Twarda / 2020 / 136 str.

Vijay Kodiyalam

Opis

Offering a description of Ocneanu's construction, this book introduces and discusses its various ingredients with the distinct advantage of employing only genuine triangulations. It also provides a treatment of finite factors of type and their bimodules and include details and calculations for various constructions.

Spis treści

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.

O autorze

Kodiyalam, Vijay