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Mirror symmetry II

About this Title

Brian R Greene and Shing-Tung Yau, Editors

Publication: AMS/IP Studies in Advanced Mathematics
Publication Year: 1996; Volume 1
ISBNs: 978-0-8218-2744-4 (print); 978-1-4704-3791-6 (online)
DOI: https://doi.org/10.1090/amsip/001
MathSciNet review: MR1416331
MSC: Primary 00B25; Secondary 14-06, 32-06, 81-06

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Table of Contents

Front/Back Matter

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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

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