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| Hardcover ISBN: | 978-0-8218-3335-3 |
| Product Code: | AMSIP/33 |
| List Price: | $90.00 |
| MAA Member Price: | $81.00 |
| AMS Member Price: | $72.00 |
| eBook ISBN: | 978-1-4704-3822-7 |
| Product Code: | AMSIP/33.E |
| List Price: | $84.00 |
| MAA Member Price: | $75.60 |
| AMS Member Price: | $67.20 |
| Hardcover ISBN: | 978-0-8218-3335-3 |
| eBook ISBN: | 978-1-4704-3822-7 |
| Product Code: | AMSIP/33.B |
| List Price: | $174.00 $132.00 |
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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 D-branes 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 co-published with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students and researchers in theoretical physics and mathematical areas such as geometry and modular forms.
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Table of Contents
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Calabi-Yau Manifolds, Mirror Symmetry, and Symplectic Geometry
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A survey of mirror principle
-
Mirror symmetry: aspects of the first 10 years
-
Lagrangian torus fibrations of Calabi-Yau 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 Calogero-Moser systems
-
M-theory tested by ${\mathcal {N}}=2$ Seiberg-Witten theory
-
Seiberg-Witten curves for elliptic models
-
The periodic and open Toda lattice
-
Exact integration methods for supersymmetric Yang-Mills theory
-
M-theory, D-branes, and non-commutative geometry
-
Nonabelian D-branes and noncommutative geometry
-
Evidence for winding states in noncommutative quantum field theory
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The discrete bound state spectrum of the rotating D0-brane system, and its decay by emission of Ramond-Ramond field radiation
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On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications
-
Phase-transitions and tensor dynamics in $M$-theory
-
Duality, Eisenstein series and exact thresholds
-
Strings, gauge theories, and AdS/CFT correspondence
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Connectedness of the boundary in the AdS/CFT correspondence
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A note on the topology of the boundary in the AdS/CFT correspondence
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Holographic duals of 4D field theories
-
Black hole thermodynamics from calculations in strongly-coupled gauge theory
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Correlation functions for orbifolds of the type $M^N/S^N$
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Elliptic genera and automorphic forms
-
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex
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On family rigidity theorems for Spin$^{c}$ manifolds
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Ample divisors, automorphic forms and Shafarevich’s conjecture
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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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 D-branes 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 co-published with International Press of Boston, Inc., Cambridge, MA.
Graduate students and researchers in theoretical physics and mathematical areas such as geometry and modular forms.
-
Calabi-Yau Manifolds, Mirror Symmetry, and Symplectic Geometry
-
A survey of mirror principle
-
Mirror symmetry: aspects of the first 10 years
-
Lagrangian torus fibrations of Calabi-Yau 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 Calogero-Moser systems
-
M-theory tested by ${\mathcal {N}}=2$ Seiberg-Witten theory
-
Seiberg-Witten curves for elliptic models
-
The periodic and open Toda lattice
-
Exact integration methods for supersymmetric Yang-Mills theory
-
M-theory, D-branes, and non-commutative geometry
-
Nonabelian D-branes and noncommutative geometry
-
Evidence for winding states in noncommutative quantum field theory
-
The discrete bound state spectrum of the rotating D0-brane system, and its decay by emission of Ramond-Ramond field radiation
-
On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications
-
Phase-transitions 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 strongly-coupled 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
