2 options
Orbifolds in mathematics and physics : proceedings of a conference on mathematical aspects of orbifold string theory, May 4-8, 2001, University of Wisconsin, Madison, Wisconsin / Alejandro Adem, Jack Morava, Yongbin Ruan, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- Conference on Mathematical Aspects of Orbifold String Theory (2001 : University of Wisconsin, Madison, Wisconsin), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 310.
- Contemporary mathematics, 0271-4132 ; 310
- Language:
- English
- Subjects (All):
- Orbifolds--Congresses.
- Orbifolds.
- Mathematical physics--Congresses.
- Mathematical physics.
- Physical Description:
- 1 online resource (370 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2002]
- Language Note:
- English
- Summary:
- This book publishes papers originally presented at a conference on the Mathematical Aspects of Orbifold String Theory, hosted by the University of Wisconsin-Madison. 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, K-theory 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.
- Contents:
- ""Contents""; ""Preface""; ""Algebraic orbifold quantum products""; ""Orbifold Gromov-Witten theory""; ""On orbifold elliptic genus""; ""Open-string Gromov-Witten invariants: Calculations and a mirror ""theorem""""; ""Orbifold quantum cohomology of the classifying space of a finite group""; ""Orbifold Frobenius algebras, cobordisms, and monodromies""; ""Loop groupoids, gerbes, and twisted sectors on orbifolds""; ""Framed knots at large N""; ""Orbifolds as groupoids: An introduction""; ""Orbifold cohomology group of toric varieties""; ""Hilbert schemes and symmetric products: A dictionary""
- ""1. Introduction""""2. The cohomology ring of Hilbert schemes""; ""3. The orbifold cohomology ring of symmetric products I""; ""4. The orbifold cohomology ring of symmetric products II""; ""5. The deformed orbifold cohomology ring of symmetric products""; ""6. Open questions""; ""References""; ""Stringy orbifolds""; ""Discrete torsion, quotient stacks, and string orbifolds""; ""Orbifold constructions of K3: A link between conformal field theory and geometry""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7900-6
- 0-8218-5646-4
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.