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# Vertex algebras and algebraic curves

Author: Edward Frenkel; David Ben-Zvi Providence, R.I. : American Mathematical Society, 2001. Mathematical surveys and monographs, 88. Print book : EnglishView all editions and formats WorldCat This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship between vertex algebras and the geometry of moduli spaces of algebraic curves. The authors  Read more... (not yet rated) 0 with reviews - Be the first.

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Document Type: Book Edward Frenkel; David Ben-Zvi Find more information about: Edward Frenkel David Ben-Zvi 0821828940 9780821828946 639318022 XII, 348 p. ; 27 cm. Definition of vertex algebras; vertex algebras associated to Lie algebras; associativity and operator product expansion; rational vertex algebras; vertex algebra bundles; action of internal symmetries; vertex algebra bundles - examples; conformal blocks I; conformal blocks II; free field realization I; free field realization II; the Knizhnik-Zamolodchikov equations; solving the KZ equations; quantum Drinfeld-Sokolov reduction and $\mathcal{W}$-algebras; vertex Lie algebras and classical limits; vertex algebras and moduli spaces I; vertex algebras and moduli spaces II; chiral algebras. Mathematical surveys and monographs, 88. Edward Frenkel, David Ben-Zvi.

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