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Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups / Tarasov, V.

Public ISBD Titre : Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups Type de document : texte imprimé Auteurs : Tarasov, V. ; A. N. Varchenko Editeur : Paris : Société Mathématiques de France Année de publication : 1997 Collection : Astérisque, ISSN 03-1179 num. 246 Importance : vi - 135 p. Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D60 Basic hypergeometric integrals and functions defined by them 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D70 Other basic hypergeometric functions and integrals in several variables 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 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 Mots-clés : r-matrix  asymptotic solutions  transition functions  tensor coordinates  quantized knihnik-zamolodchokov equation  discrete gauss-manin connection Index. décimale : AST Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups [texte imprimé] / Tarasov, V. ; A. N. Varchenko . - Société Mathématiques de France, 1997 . - vi - 135 p. . - (Astérisque, ISSN 03-1179; 246) . Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D60 Basic hypergeometric integrals and functions defined by them 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D70 Other basic hypergeometric functions and integrals in several variables 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 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 Mots-clés : r-matrix  asymptotic solutions  transition functions  tensor coordinates  quantized knihnik-zamolodchokov equation  discrete gauss-manin connection Index. décimale : AST

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Quantum Cohomology / Behrend, K.

Public ISBD Titre : Quantum Cohomology Titre original : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 - July 8, 1997 Type de document : texte imprimé Auteurs : Behrend, K. ; Tian, G.: ; Tarasov, V. ; Gomez, C. Editeur : Springer-Verlag Année de publication : 2002 Collection : Lecture Notes in Mathematics, ISSN 0075-8434 num. 1776 Importance : viii - 318 p. ISBN/ISSN/EAN : 978-3-540-43121-3 Langues : Anglais (eng) Catégories : 14-XX Algebraic geometry:14NXX Projective and enumerative geometry :14N35 Gromov-Witten invariants, quantum cohomology 53-XX Differential geometry :53DXX Symplectic geometry, contact geometry :53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T30 String and superstring theories; other extended objects (e.g., branes) 83-XX Relativity and gravitational theory:83EXX Unified, higher-dimensional and super field theories:83E30 String and superstring theories Mots-clés : 1997  cetraro (italy)  c.i.m.e.  lectures  strings and branes  quantum cohomology  mirror symmetry Index. décimale : LNM Quantum Cohomology = Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 - July 8, 1997 [texte imprimé] / Behrend, K. ; Tian, G.: ; Tarasov, V. ; Gomez, C. . - Springer-Verlag, 2002 . - viii - 318 p.. - (Lecture Notes in Mathematics, ISSN 0075-8434; 1776) . ISBN : 978-3-540-43121-3 Langues : Anglais (eng) Catégories : 14-XX Algebraic geometry:14NXX Projective and enumerative geometry :14N35 Gromov-Witten invariants, quantum cohomology 53-XX Differential geometry :53DXX Symplectic geometry, contact geometry :53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T30 String and superstring theories; other extended objects (e.g., branes) 83-XX Relativity and gravitational theory:83EXX Unified, higher-dimensional and super field theories:83E30 String and superstring theories Mots-clés : 1997  cetraro (italy)  c.i.m.e.  lectures  strings and branes  quantum cohomology  mirror symmetry Index. décimale : LNM

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