**AMS/IP Studies in Advanced Mathematics**

Volume: 1;
1996;
844 pp;
Softcover

MSC: Primary 14; 32; 81;

Print ISBN: 978-0-8218-2744-4

Product Code: AMSIP/1.S

List Price: $109.00

Individual Member Price: $87.20

**Electronic ISBN: 978-1-4704-3791-6
Product Code: AMSIP/1.E**

List Price: $109.00

Individual Member Price: $87.20

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# Mirror symmetry II

Share this page *Edited by *
*B. Greene; S.-T. Yau*

#### Readership

Graduate students, research mathematicians, and physicists interested in mathematical physics.

#### Reviews & Endorsements

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

# Table of Contents

## Mirror symmetry II

- Cover Cover11
- Title page iii4
- Contents v6
- Foreword xv16
- Construction of mirror manifolds (Part I) 118
- Geometry and quantum field theory: A brief introduction 320
- Constructing mirror manifolds 2946
- Dual cones and mirror symmetry for generalized Calabi-Yau manifolds 7188
- Mirror symmetry constructions: A review 87104
- On the elliptic genus and mirror symmetry 115132
- Orbifold Euler characteristic 129146
- The structure of moduli space (Part II) 141158
- Phases of 𝑁 = 2 theories in two dimensions 143160
- Calabi-Yau moduli space, mirror manifolds, and spacetime topology change in string theory 213230
- Picard-Fuchs equations, special geometry, and target space duality 281298
- Resolution of orbifold singularities in string theory 355372
- The role of 𝑐₂ in Calabi-Yau classification–A preliminary survey 381398
- Thickening Calabi-Yau moduli spaces 393410
- The deformation space of Calabi-Yau 𝑛-folds with canonical singularities can be obstructed 401418
- Introduction to duality 413430
- Noncompact Calabi-Yau spaces and other nontrivial backgrounds for four-dimensional superstrings 427444
- Scaling behavior on the space of Calabi-Yau manifolds 443460
- Enumerative issues and mirror symmetry (Part III) 455472
- Making enumerative predictions by means of mirror symmetry 457474
- Mirror symmetry for two parameter models. I 483500
- Mirror symmetry, mirror map, and applications to complete intersection Calabi-Yau spaces 545562
- Gromov-Witten classes, quantum cohomology, and enumerative geometry 607624
- Holomorphic anomalies in topological field theories 655672
- Local behavior of Hodge structures at infinity 683700
- Mirror symmetry in higher and lower dimensions (Part IV) 701718
- String theory on K3 surfaces 703720
- K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds 717734
- Mirror manifolds in higher dimension 745762
- Supermanifolds, rigid manifolds, and mirror symmetry 793810
- Glossary 816833
- Index 839856
- Back Cover Back Cover1862