Vertex algebras and algebraic curves /
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| Author / Creator: | Frenkel, Edward, 1968- |
|---|---|
| Edition: | 2nd ed. |
| Imprint: | Providence, R.I. : American Mathematical Society, c2004. |
| Description: | xiii, 400 p. ; 26 cm. |
| Language: | English |
| Series: | Mathematical surveys and monographs, 0076-5376 ; v. 88 Mathematical surveys and monographs ; no. 88. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6227054 |
Table of Contents:
- 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