AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Mirror Symmetry I
About this Title
Shing-Tung Yau, Harvard University, Cambridge, MA, Editor
Publication: AMS/IP Studies in Advanced Mathematics
Publication Year:
1998; Volume 9
ISBNs: 978-0-8218-2743-7 (print); 978-1-4704-3800-5 (online)
DOI: https://doi.org/10.1090/amsip/009
MathSciNet review: MR1655605
MSC: Primary 32-06; Secondary 14-06
ReadershipTable of Contents
Front/Back Matter
Chapters
- An introduction to mirror manifolds
- A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
- Topological mirrors and quantum rings
- Mirror manifolds and topological field theory
- Rational curves and classification of algebraic varieties
- Rational curves on Calabi-Yau threefolds
- Picard-Fuchs equations and mirror maps for hypersurfaces
- Kähler classes on Calabi-Yau threefolds—An informal survey
- Automorphic functions and special Kähler geometry
- Picard-Fuchs equations and flat holomorphic connections from $N = 2$ supergravity
- A new geometry from superstring theory
- The geometry of Calabi-Yau orbifolds
- Properties of superstring vacua from (topological) Landau-Ginzburg models
- An $SL(2,\mathbb {C})$ action on certain Jacobian rings and the mirror map
- A generalized construction of mirror manifolds
- New constructions of mirror manifolds: Probing moduli space far from Fermat points
- Deformations of Calabi-Yau Kleinfolds
- Smoothing 3-folds with trivial canonical bundle and ordinary double points
- Modified Calabi-Yau manifolds with torsion
- Calabi-Yau threefolds and complex multiplication