Topological Quantum Field Theories from Subfactors

Topological Quantum Field Theories from Subfactors

Kodiyalam, Vijay

Taylor & Francis Ltd

09/2020

136

Dura

Inglês

9781138442108

15 a 20 dias

410

Descrição não disponível.
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.
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Topological Quantum Field Theories;Complex Group Algebra;Space;Perron Frobenius Eigenvector;Orthonormal;Hopf Algebra;Ert;Coxeter Diagram;Hilbert;Homotopic Rel;Von;Finite Dimensional Hilbert Space;Neumann;Intertwiner Spaces;Algebra;Perron Frobenius Eigenvalue;Basis;Irreducible Unitary Representations;Total;Von Neumann Algebras;Order;Ambient Isotopy;Turaev-Viro construction;Quantisation Functor;Positive Functional;finite-depth subfactors;Hilbert Space;cobordism categories;Conjugacy Classes;Vertex Set;Sesquilinear Form;Quantum Double