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Vertex algebras and algebraic curves

Author: Edward Frenkel; David Ben-Zvi
Publisher: Providence, R.I. : American Mathematical Society, ©2004.
Series: Mathematical surveys and monographs, no. 88.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:

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...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Edward Frenkel; David Ben-Zvi
ISBN: 0821836749 9780821836743
OCLC Number: 55510252
Description: xiii, 400 pages ; 26 cm.
Contents: 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 --
Conformol blocks II --
Free field realization I --
Free field realization II --
The Knizhnik-Zamolodchikov equations --
Solving the KZ equations --
Quantum Drinkfeld-Sokolov reduction and W-algebras --
Vertex Lie algebras and classical limits --
Vertex algebras and moduli spaces I --
Vertex algebras and moduli spaces II --
Chiral algebras --
Factorization.
Series Title: Mathematical surveys and monographs, no. 88.
Responsibility: Edward Frenkel, David Ben-Zvi.

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