eBook ISBN:  9781470437916 
Product Code:  AMSIP/1.E 
List Price:  $115.00 
MAA Member Price:  $103.50 
AMS Member Price:  $92.00 
eBook ISBN:  9781470437916 
Product Code:  AMSIP/1.E 
List Price:  $115.00 
MAA Member Price:  $103.50 
AMS Member Price:  $92.00 

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 copublished with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students, research mathematicians, and physicists interested in mathematical physics.

Table of Contents

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 CalabiYau 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

CalabiYau moduli space, mirror manifolds, and spacetime topology change in string theory

PicardFuchs equations, special geometry, and target space duality

Resolution of orbifold singularities in string theory

The role of $c_2$ in CalabiYau classification–A preliminary survey

Thickening CalabiYau moduli spaces

The deformation space of CalabiYau $n$folds with canonical singularities can be obstructed

Introduction to duality

Noncompact CalabiYau spaces and other nontrivial backgrounds for fourdimensional superstrings

Scaling behavior on the space of CalabiYau 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 CalabiYau spaces

GromovWitten 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 CalabiYau manifolds

Mirror manifolds in higher dimension

Supermanifolds, rigid manifolds, and mirror symmetry


Reviews

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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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 copublished 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 CalabiYau 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

CalabiYau moduli space, mirror manifolds, and spacetime topology change in string theory

PicardFuchs equations, special geometry, and target space duality

Resolution of orbifold singularities in string theory

The role of $c_2$ in CalabiYau classification–A preliminary survey

Thickening CalabiYau moduli spaces

The deformation space of CalabiYau $n$folds with canonical singularities can be obstructed

Introduction to duality

Noncompact CalabiYau spaces and other nontrivial backgrounds for fourdimensional superstrings

Scaling behavior on the space of CalabiYau 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 CalabiYau spaces

GromovWitten 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 CalabiYau 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