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Hardcover ISBN:  9780821833353 
Product Code:  AMSIP/33 
List Price:  $90.00 
MAA Member Price:  $81.00 
AMS Member Price:  $72.00 
eBook ISBN:  9781470438227 
Product Code:  AMSIP/33.E 
List Price:  $84.00 
MAA Member Price:  $75.60 
AMS Member Price:  $67.20 
Hardcover ISBN:  9780821833353 
eBook ISBN:  9781470438227 
Product Code:  AMSIP/33.B 
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MAA Member Price:  $156.60 $118.80 
AMS Member Price:  $139.20 $105.60 

Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 33; 2002; 381 ppMSC: Primary 14; 32; 81;
This book presents contributions of participants of a workshop held at the Centre de Recherches Mathématiques (CRM), University of Montréal. It can be viewed as a sequel to Mirror Symmetry I (1998), Mirror Symmetry II (1996), and Mirror Symmetry III (1999), copublished by the AMS and International Press.
The volume presents a broad survey of many of the noteworthy developments that have taken place in string theory, geometry, and duality since the mid 1990s. Some of the topics emphasized include the following: Integrable models and supersymmetric gauge theories; theory of M and Dbranes and noncommutative geometry; duality between strings and gauge theories; and elliptic genera and automorphic forms. Several introductory articles present an overview of the geometric and physical aspects of mirror symmetry and of corresponding developments in symplectic geometry. The book provides an efficient way for a very broad audience of mathematicians and physicists to explore the frontiers of research into this rapidly expanding area.
Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students and researchers in theoretical physics and mathematical areas such as geometry and modular forms.

Table of Contents

CalabiYau Manifolds, Mirror Symmetry, and Symplectic Geometry

A survey of mirror principle

Mirror symmetry: aspects of the first 10 years

Lagrangian torus fibrations of CalabiYau hypersurfaces in toric varieties and SYZ mirror symmetry conjecture

Moduli space of stable maps

Cohomological properties of ruled symplectic structures

Supersymmetric gauge theories and integrable models

Spectral Lax pairs and CalogeroMoser systems

Mtheory tested by ${\mathcal {N}}=2$ SeibergWitten theory

SeibergWitten curves for elliptic models

The periodic and open Toda lattice

Exact integration methods for supersymmetric YangMills theory

Mtheory, Dbranes, and noncommutative geometry

Nonabelian Dbranes and noncommutative geometry

Evidence for winding states in noncommutative quantum field theory

The discrete bound state spectrum of the rotating D0brane system, and its decay by emission of RamondRamond field radiation

On the correspondence between Dbranes and stationary supergravity solutions of type II CalabiYau compactifications

Phasetransitions and tensor dynamics in $M$theory

Duality, Eisenstein series and exact thresholds

Strings, gauge theories, and AdS/CFT correspondence

Connectedness of the boundary in the AdS/CFT correspondence

A note on the topology of the boundary in the AdS/CFT correspondence

Holographic duals of 4D field theories

Black hole thermodynamics from calculations in stronglycoupled gauge theory

Correlation functions for orbifolds of the type $M^N/S^N$

Elliptic genera and automorphic forms

Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex

On family rigidity theorems for Spin$^{c}$ manifolds

Ample divisors, automorphic forms and Shafarevich’s conjecture


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This book presents contributions of participants of a workshop held at the Centre de Recherches Mathématiques (CRM), University of Montréal. It can be viewed as a sequel to Mirror Symmetry I (1998), Mirror Symmetry II (1996), and Mirror Symmetry III (1999), copublished by the AMS and International Press.
The volume presents a broad survey of many of the noteworthy developments that have taken place in string theory, geometry, and duality since the mid 1990s. Some of the topics emphasized include the following: Integrable models and supersymmetric gauge theories; theory of M and Dbranes and noncommutative geometry; duality between strings and gauge theories; and elliptic genera and automorphic forms. Several introductory articles present an overview of the geometric and physical aspects of mirror symmetry and of corresponding developments in symplectic geometry. The book provides an efficient way for a very broad audience of mathematicians and physicists to explore the frontiers of research into this rapidly expanding area.
Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA.
Graduate students and researchers in theoretical physics and mathematical areas such as geometry and modular forms.

CalabiYau Manifolds, Mirror Symmetry, and Symplectic Geometry

A survey of mirror principle

Mirror symmetry: aspects of the first 10 years

Lagrangian torus fibrations of CalabiYau hypersurfaces in toric varieties and SYZ mirror symmetry conjecture

Moduli space of stable maps

Cohomological properties of ruled symplectic structures

Supersymmetric gauge theories and integrable models

Spectral Lax pairs and CalogeroMoser systems

Mtheory tested by ${\mathcal {N}}=2$ SeibergWitten theory

SeibergWitten curves for elliptic models

The periodic and open Toda lattice

Exact integration methods for supersymmetric YangMills theory

Mtheory, Dbranes, and noncommutative geometry

Nonabelian Dbranes and noncommutative geometry

Evidence for winding states in noncommutative quantum field theory

The discrete bound state spectrum of the rotating D0brane system, and its decay by emission of RamondRamond field radiation

On the correspondence between Dbranes and stationary supergravity solutions of type II CalabiYau compactifications

Phasetransitions and tensor dynamics in $M$theory

Duality, Eisenstein series and exact thresholds

Strings, gauge theories, and AdS/CFT correspondence

Connectedness of the boundary in the AdS/CFT correspondence

A note on the topology of the boundary in the AdS/CFT correspondence

Holographic duals of 4D field theories

Black hole thermodynamics from calculations in stronglycoupled gauge theory

Correlation functions for orbifolds of the type $M^N/S^N$

Elliptic genera and automorphic forms

Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex

On family rigidity theorems for Spin$^{c}$ manifolds

Ample divisors, automorphic forms and Shafarevich’s conjecture