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# Vertex algebras and algebraic curves

Author: Edward Frenkel; David Ben-Zvi Providence, R.I. : American Mathematical Society, ©2004. Mathematical surveys and monographs, no. 88. Book : English : 2nd edView all editions and formats WorldCat Presents an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. This book contains several topics, in particular an  Read more... (not yet rated) 0 with reviews - Be the first.

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Material Type: Internet resource Book, Internet Resource Edward Frenkel; David Ben-Zvi Find more information about: Edward Frenkel David Ben-Zvi 0821836749 9780821836743 55510252 xiii, 400 p. ; 26 cm. Introduction Definition of vertex algebras Vertex algebras associated to Lie algebras Associativity and operator product expansion Applications of the operator product expansion Modules over vertex algebras and more examples 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 Factorization Appendix Bibliography Index List of frequently used notation. Mathematical surveys and monographs, no. 88. Edward Frenkel, David Ben-Zvi.

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