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Orbifolds in Mathematics and Physics
 
Edited by: Alejandro Adem University of Wisconsin, Madison, WI
Jack Morava Johns Hopkins University, Baltimore, MD
Yongbin Ruan University of Wisconsin, Madison, WI
Orbifolds in Mathematics and Physics
Softcover ISBN:  978-0-8218-2990-5
Product Code:  CONM/310
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7900-9
Product Code:  CONM/310.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2990-5
eBook: ISBN:  978-0-8218-7900-9
Product Code:  CONM/310.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Orbifolds in Mathematics and Physics
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Orbifolds in Mathematics and Physics
Edited by: Alejandro Adem University of Wisconsin, Madison, WI
Jack Morava Johns Hopkins University, Baltimore, MD
Yongbin Ruan University of Wisconsin, Madison, WI
Softcover ISBN:  978-0-8218-2990-5
Product Code:  CONM/310
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7900-9
Product Code:  CONM/310.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2990-5
eBook ISBN:  978-0-8218-7900-9
Product Code:  CONM/310.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3102002; 358 pp
    MSC: Primary 81; 55; 17; 19

    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.

    Readership

    Advanced graduate students and researchers interested in orbifolds or in connections between mathematical subject areas

  • Table of Contents
     
     
    • Articles
    • Dan Abramovich, Tom Graber and Angelo Vistoli — Algebraic orbifold quantum products [ MR 1950940 ]
    • Weimin Chen and Yongbin Ruan — Orbifold Gromov-Witten theory [ MR 1950941 ]
    • Chongying Dong, Kefeng Liu and Xiaonan Ma — On orbifold elliptic genus [ MR 1950942 ]
    • Tom Graber and Eric Zaslow — Open-string Gromov-Witten invariants: calculations and a mirror “theorem” [ MR 1950943 ]
    • Tyler J. Jarvis and Takashi Kimura — Orbifold quantum cohomology of the classifying space of a finite group [ MR 1950944 ]
    • Ralph M. Kaufmann — Orbifold Frobenius algebras, cobordisms and monodromies [ MR 1950945 ]
    • Ernesto Lupercio and Bernardo Uribe — Loop groupoids, gerbes, and twisted sectors on orbifolds [ MR 1950946 ]
    • Marcos Mariño and Cumrun Vafa — Framed knots at large $N$ [ MR 1950947 ]
    • Ieke Moerdijk — Orbifolds as groupoids: an introduction [ MR 1950948 ]
    • Mainak Poddar — Orbifold cohomology group of toric varieties [ MR 1950949 ]
    • Zhenbo Qin and Weiqiang Wang — Hilbert schemes and symmetric products: a dictionary [ MR 1950950 ]
    • Yongbin Ruan — Stringy orbifolds [ MR 1950951 ]
    • Eric Sharpe — Discrete torsion, quotient stacks, and string orbifolds [ MR 1950952 ]
    • Katrin Wendland — Orbifold constructions of $K3$: a link between conformal field theory and geometry [ MR 1950953 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3102002; 358 pp
MSC: Primary 81; 55; 17; 19

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.

Readership

Advanced graduate students and researchers interested in orbifolds or in connections between mathematical subject areas

  • Articles
  • Dan Abramovich, Tom Graber and Angelo Vistoli — Algebraic orbifold quantum products [ MR 1950940 ]
  • Weimin Chen and Yongbin Ruan — Orbifold Gromov-Witten theory [ MR 1950941 ]
  • Chongying Dong, Kefeng Liu and Xiaonan Ma — On orbifold elliptic genus [ MR 1950942 ]
  • Tom Graber and Eric Zaslow — Open-string Gromov-Witten invariants: calculations and a mirror “theorem” [ MR 1950943 ]
  • Tyler J. Jarvis and Takashi Kimura — Orbifold quantum cohomology of the classifying space of a finite group [ MR 1950944 ]
  • Ralph M. Kaufmann — Orbifold Frobenius algebras, cobordisms and monodromies [ MR 1950945 ]
  • Ernesto Lupercio and Bernardo Uribe — Loop groupoids, gerbes, and twisted sectors on orbifolds [ MR 1950946 ]
  • Marcos Mariño and Cumrun Vafa — Framed knots at large $N$ [ MR 1950947 ]
  • Ieke Moerdijk — Orbifolds as groupoids: an introduction [ MR 1950948 ]
  • Mainak Poddar — Orbifold cohomology group of toric varieties [ MR 1950949 ]
  • Zhenbo Qin and Weiqiang Wang — Hilbert schemes and symmetric products: a dictionary [ MR 1950950 ]
  • Yongbin Ruan — Stringy orbifolds [ MR 1950951 ]
  • Eric Sharpe — Discrete torsion, quotient stacks, and string orbifolds [ MR 1950952 ]
  • Katrin Wendland — Orbifold constructions of $K3$: a link between conformal field theory and geometry [ MR 1950953 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.