Contemporary Mathematics 2002; 358 pp; softcover Volume: 310 ISBN10: 0821829904 ISBN13: 9780821829905 List Price: US$103 Member Price: US$82.40 Order Code: CONM/310
 This book publishes papers originally presented at a conference on the Mathematical Aspects of Orbifold String Theory, hosted by the University of WisconsinMadison. It contains a great deal of information not fully covered in the published literature and showcases the current state of the art in orbital string theory. The subject of orbifolds has a long prehistory, going back to the work of Thurston and Haefliger, with roots in the theory of manifolds, group actions, and foliations. The recent explosion of activity on the topic has been powered by applications of orbifolds to moduli problems and quantum field theory. The present volume presents an interdisciplinary look at orbifold problems. Topics such as stacks, vertex operator algebras, branes, groupoids, Ktheory and quantum cohomology are discussed. The book reflects the thinking of distinguished investigators working in the areas of mathematical physics, algebraic geometry, algebraic topology, symplectic geometry and representation theory. By presenting the work of a broad range of mathematicians and physicists who use and study orbifolds, it familiarizes readers with the various points of view and types of results the researchers bring to the subject. Readership Advanced graduate students and researchers interested in orbifolds or in connections between mathematical subject areas Table of Contents  D. Abramovich, T. Graber, and A. Vistoli  Algebraic orbifold quantum products
 W. Chen and Y. Ruan  Orbifold GromovWitten theory
 C. Dong, K. Liu, and X. Ma  On orbifold elliptic genus
 T. Graber and E. Zaslow  Openstring GromovWitten invariants: Calculations and a mirror "theorem"
 T. J. Jarvis and T. Kimura  Orbifold quantum cohomology of the classifying space of a finite group
 R. M. Kaufmann  Orbifold Frobenius algebras, cobordisms and monodromies
 E. Lupercio and B. Uribe  Loop groupoids, Gerbes, and twisted sectors on orbifolds
 M. Mariño and C. Vafa  Framed knots at large \(N\)
 I. Moerdijk  Orbifolds as groupoids: An introduction
 M. Poddar  Orbifold cohomology group of toric varieties
 Z. Qin and W. Wang  Hilbert schemes and symmetric products: A dictionary
 Y. Ruan  Stringy orbifolds
 E. Sharpe  Discrete torsion, quotient stacks, and string orbifolds
 K. Wendland  Orbifold constructions of \(K3\): A link between conformal field theory and geometry
