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Softcover ISBN:  9780821829905 
Product Code:  CONM/310 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821879009 
Product Code:  CONM/310.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821829905 
eBook ISBN:  9780821879009 
Product Code:  CONM/310.B 
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MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 310; 2002; 358 ppMSC: 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 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.
ReadershipAdvanced 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 GromovWitten theory [ MR 1950941 ]

Chongying Dong, Kefeng Liu and Xiaonan Ma — On orbifold elliptic genus [ MR 1950942 ]

Tom Graber and Eric Zaslow — Openstring GromovWitten 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 ]


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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.
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 GromovWitten theory [ MR 1950941 ]

Chongying Dong, Kefeng Liu and Xiaonan Ma — On orbifold elliptic genus [ MR 1950942 ]

Tom Graber and Eric Zaslow — Openstring GromovWitten 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 ]