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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
ReadershipTable of Contents
Front/Back Matter
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