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Vertex algebras and algebraic curves

Author: Edward Frenkel; David Ben-Zvi
Publisher: Providence, R.I. : American Mathematical Society, 2001.
Series: Mathematical surveys and monographs, 88.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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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...

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Document Type: Book
All Authors / Contributors: Edward Frenkel; David Ben-Zvi
ISBN: 0821828940 9780821828946
OCLC Number: 639318022
Description: XII, 348 p. ; 27 cm.
Contents: 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.
Series Title: Mathematical surveys and monographs, 88.
Responsibility: Edward Frenkel, David Ben-Zvi.

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