000			01970nam a22002297a 4500
003			OSt
005			20241014172251.0
008			190222b ||||| |||| 00| 0 eng d
020			_a9780821836743
040			_cEducation Supplies _aICTS-TIFR
050			_aQA326
100			_aEdward Frenkel
245			_aVertex algebras and algebraic curves
250			_a2nd ed.
260			_aRhode Island: _bAmerican Mathematical Society, _c[c2004]
300			_a348 p
505			_a1. Definition of vertex algebras 2. Vertex algebras associated to Lie algebras 3. Associativity and operator product expansion 4. Applications of the operator product expansion 5. Modules over vertex algebras and more examples 6. Vertex algebra bundles 7. Action of internal symmetries 8. Vertex algebra bundles: Examples 9. Conformal blocks I 10. Conformal blocks II 11. Free field realization I 12. Free field realization II 13. The Knizhnik–Zamolodchikov equations 14. Solving the KZ equations 15. Quantum Drinfeld–Sokolov reduction and W–algebras 16. Vertex Lie algebras and classical limits 17. Vertex algebras and moduli spaces I 18. Vertex algebras and moduli spaces II 19. Chiral algebras 20. Factorization
520			_aThis book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. --- summary provided by publisher
650			_aMathematics
700			_aBen-Zvi, David
942			_2lcc _cBK
999			_c2362 _d2362