| eBook ISBN: | 978-1-4704-3791-6 |
| Product Code: | AMSIP/1.E |
| List Price: | $115.00 |
| MAA Member Price: | $103.50 |
| AMS Member Price: | $92.00 |
| eBook ISBN: | 978-1-4704-3791-6 |
| Product Code: | AMSIP/1.E |
| List Price: | $115.00 |
| MAA Member Price: | $103.50 |
| AMS Member Price: | $92.00 |
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 1; 1996; 844 ppMSC: Primary 14; 32; 81
Mirror symmetry has undergone dramatic progress during the last five years. Tremendous insight has been gained on a number of key issues. This volume surveys these results. Some of the contributions in this work have appeared elsewhere, while others were written specifically for this collection. The areas covered are organized into 4 sections, and each presents papers by both physicists and mathematicians.
This volume collects the most important developments that have taken place in mathematical physics since 1991. It is an essential reference tool for both mathematics and physics libraries and for students of physics and mathematics.
Also available from the AMS are the related volumes, Mirror Symmetry I (1998), Mirror Symmetry III (1999), and Mirror Symmetry IV (2002).
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students, research mathematicians, and physicists interested in mathematical physics.
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Table of Contents
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Chapters
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Construction of mirror manifolds (Part I)
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Geometry and quantum field theory: A brief introduction
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Constructing mirror manifolds
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Dual cones and mirror symmetry for generalized Calabi-Yau manifolds
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Mirror symmetry constructions: A review
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On the elliptic genus and mirror symmetry
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Orbifold Euler characteristic
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The structure of moduli space (Part II)
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Phases of $N$ = 2 theories in two dimensions
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Calabi-Yau moduli space, mirror manifolds, and spacetime topology change in string theory
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Picard-Fuchs equations, special geometry, and target space duality
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Resolution of orbifold singularities in string theory
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The role of $c_2$ in Calabi-Yau classification–A preliminary survey
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Thickening Calabi-Yau moduli spaces
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The deformation space of Calabi-Yau $n$-folds with canonical singularities can be obstructed
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Introduction to duality
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Noncompact Calabi-Yau spaces and other nontrivial backgrounds for four-dimensional superstrings
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Scaling behavior on the space of Calabi-Yau manifolds
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Enumerative issues and mirror symmetry (Part III)
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Making enumerative predictions by means of mirror symmetry
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Mirror symmetry for two parameter models. I
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Mirror symmetry, mirror map, and applications to complete intersection Calabi-Yau spaces
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Gromov-Witten classes, quantum cohomology, and enumerative geometry
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Holomorphic anomalies in topological field theories
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Local behavior of Hodge structures at infinity
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Mirror symmetry in higher and lower dimensions (Part IV)
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String theory on K3 surfaces
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K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds
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Mirror manifolds in higher dimension
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Supermanifolds, rigid manifolds, and mirror symmetry
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Reviews
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The papers of this volume will undoubtedly allow the reader to gain much insight into both the physics and the mathematics of the remarkable structure of mirror symmetry.
Zentralblatt MATH
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
Mirror symmetry has undergone dramatic progress during the last five years. Tremendous insight has been gained on a number of key issues. This volume surveys these results. Some of the contributions in this work have appeared elsewhere, while others were written specifically for this collection. The areas covered are organized into 4 sections, and each presents papers by both physicists and mathematicians.
This volume collects the most important developments that have taken place in mathematical physics since 1991. It is an essential reference tool for both mathematics and physics libraries and for students of physics and mathematics.
Also available from the AMS are the related volumes, Mirror Symmetry I (1998), Mirror Symmetry III (1999), and Mirror Symmetry IV (2002).
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Graduate students, research mathematicians, and physicists interested in mathematical physics.
-
Chapters
-
Construction of mirror manifolds (Part I)
-
Geometry and quantum field theory: A brief introduction
-
Constructing mirror manifolds
-
Dual cones and mirror symmetry for generalized Calabi-Yau manifolds
-
Mirror symmetry constructions: A review
-
On the elliptic genus and mirror symmetry
-
Orbifold Euler characteristic
-
The structure of moduli space (Part II)
-
Phases of $N$ = 2 theories in two dimensions
-
Calabi-Yau moduli space, mirror manifolds, and spacetime topology change in string theory
-
Picard-Fuchs equations, special geometry, and target space duality
-
Resolution of orbifold singularities in string theory
-
The role of $c_2$ in Calabi-Yau classification–A preliminary survey
-
Thickening Calabi-Yau moduli spaces
-
The deformation space of Calabi-Yau $n$-folds with canonical singularities can be obstructed
-
Introduction to duality
-
Noncompact Calabi-Yau spaces and other nontrivial backgrounds for four-dimensional superstrings
-
Scaling behavior on the space of Calabi-Yau manifolds
-
Enumerative issues and mirror symmetry (Part III)
-
Making enumerative predictions by means of mirror symmetry
-
Mirror symmetry for two parameter models. I
-
Mirror symmetry, mirror map, and applications to complete intersection Calabi-Yau spaces
-
Gromov-Witten classes, quantum cohomology, and enumerative geometry
-
Holomorphic anomalies in topological field theories
-
Local behavior of Hodge structures at infinity
-
Mirror symmetry in higher and lower dimensions (Part IV)
-
String theory on K3 surfaces
-
K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds
-
Mirror manifolds in higher dimension
-
Supermanifolds, rigid manifolds, and mirror symmetry
-
The papers of this volume will undoubtedly allow the reader to gain much insight into both the physics and the mathematics of the remarkable structure of mirror symmetry.
Zentralblatt MATH
