Titre :	Lectures on tensor categories and modular functors
Type de document :	texte imprimé
Auteurs :	Bakalov, Bojko ; Kirillov, Alexander Jr.
Editeur :	Providence, R.I. : American Mathematical Society
Année de publication :	2001
Collection :	University Lecture Series num. 21
Importance :	x - 221 p.
ISBN/ISSN/EAN :	978-0-8218-2686-7
Langues :	Anglais
Catégories :	18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18DXX Categories with structure:18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories 57-XX Manifolds and cell complexes :57-02 Research exposition (monographs, survey articles) 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M27 Invariants of knots and 3-manifolds 57-XX Manifolds and cell complexes :57RXX Differential topology :57R56 Topological quantum field theories 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T45 Topological field theories
Mots-clés :	teichmuller theory  quantum groups  tensor categories  topological quantum field theory  d-modules  moduli spaces of curves  modular categories and functors  invariants of three-manifolds  three-dimensional quantum field theory  ribbon categories
Index. décimale :	18C Monographie

Lectures on tensor categories and modular functors [texte imprimé] / Bakalov, Bojko ; Kirillov, Alexander Jr. . - Providence, R.I. : American Mathematical Society, 2001 . - x - 221 p.. - (University Lecture Series; 21) .
ISBN : 978-0-8218-2686-7
Langues : Anglais

Catégories :	18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18DXX Categories with structure:18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories 57-XX Manifolds and cell complexes :57-02 Research exposition (monographs, survey articles) 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M27 Invariants of knots and 3-manifolds 57-XX Manifolds and cell complexes :57RXX Differential topology :57R56 Topological quantum field theories 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T45 Topological field theories
Mots-clés :	teichmuller theory  quantum groups  tensor categories  topological quantum field theory  d-modules  moduli spaces of curves  modular categories and functors  invariants of three-manifolds  three-dimensional quantum field theory  ribbon categories
Index. décimale :	18C Monographie