Fields Institute Communications 2003; 249 pp; hardcover Volume: 39 ISBN10: 0821828568 ISBN13: 9780821828564 List Price: US$88 Member Price: US$70.40 Order Code: FIC/39
 Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as "stringtheoretic analogues" of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from crosspollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, Vertex Operator Algebras in Mathematics and Physics, held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics. Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Graduate students and researchers interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics. Table of Contents  T. Abe and K. Nagatomo  Finiteness of conformal blocks over the projective line
 P. Bantay  Permutation orbifolds and their applications
 J. Fuchs and C. Schweigert  Category theory for conformal boundary conditions
 R. L. Griess, Jr.  GNAVOA, I. Studies in groups, nonassociative algebras and vertex operator algebras
 G. Höhn  Genera of vertex operator algebras and threedimensional topological quantum field theories
 Y.Z. Huang  Riemann surfaces with boundaries and the theory of vertex operator algebras
 H. Li  Vertex (operator) algebras are "algebras" of vertex operators
 A. Milas  Correlation functions, differential operators and vertex operator algebras
 M. Primc  Relations for annihilating fields of standard modules for affine Lie algebras
 A. Recknagel  From branes to boundary conformal field theory: Draft of a dictionary
 V. Schomerus  Open strings and noncommutative geometry
 C. Schweigert and J. Fuchs  The world sheet revisited
