Mirror Symmetry II

Mirror Symmetry II

by Brian Greene

Product Details

American Mathematical Society
Publication date:
AMS-IP Studies in Advanced Mathematics

Table of Contents

IConstruction of Mirror Manifolds1
Geometry and Quantum Field Theory: A Brief Introduction3
Constructing Mirror Manifolds29
Dual Cones and Mirror Symmetry71
Mirror Symmetry Constructions: A Review87
On the Elliptic Genus and Mirror Symmetry115
Orbifold Euler Characteristic129
IIThe Structure of Moduli Space141
Phases of N = 2 Theories in Two Dimensions143
Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory213
Picard-Fuchs Equations, Special Geometry and Target Space Duality281
Resolution of Orbifold Singularities in String Theory355
The Role of c[subscript 2] in Calabi-Yau Classification - a Preliminary Survey381
Thickening Calabi-Yau moduli spaces393
The Deformation Space of Calabi-Yau n-folds with Canonical Singularities Can Be Obstructed401
Introduction to Duality413
Non-compact Calabi-Yau Spaces and other Non-Trivial Backgrounds for Four-dimensional Superstrings427
Scaling Behavior On The Space Of Calabi-Yau Manifolds443
IIIEnumerative Issues and Mirror Symmetry455
Making enumerative predictions, by Means of Mirror Symmetry457
Mirror Symmetry for Two Parameter Model - I483
Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces545
Gromov-Witten Classes, Quantum Cohomology, and Enumerative Geometry607
Holomorphic Anomalies in Topological Field Theories655
Local behavior of Hodge structures at infinity683
IVMirror Symmetry in Higher and Lower Dimensions701
String Theory on K3 Surfaces703
K3 Surfaces with Involution and Mirror Pairs of Calabi-Yau Manifolds717
Mirror Manifolds in Higher Dimension745
Supermanifolds, Rigid Manifolds and Mirror Symmetry793

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