viii CONTENTS
Chapter 19. Chiral Algebras 329
19.1. Some sheaf theory 329
19.2. Sheaf interpretation of OPE 334
19.3. Chiral algebras 337
19.4. Lie* algebras 342
19.5. Modules over chiral algebras 346
19.6. Global Kac-Moody and Virasoro algebras 347
19.7. Bibliographical notes 350
Chapter 20. Factorization 351
20.1. Factorization algebras 351
20.2. Factorization algebras and chiral algebras 354
20.3. The Grassmannian and factorization spaces 358
20.4. Examples of factorization algebras 363
20.5. Factorization and the chiral Hecke algebra 369
20.6. Bibliographical notes 374
Appendix 375
A.l. Discs,, formal discs and ind-schemes 375
A.2. Connections 377
A.3. Lie algebroids and ©-modules 378
A.4. Lie algebra cohomology 380
Bibliography 383
Index 393
List of Frequently Used Notation
397
Previous Page Next Page