Research Catalog

Title

Mirror symmetry II / B. Greene and S.-T. Yau, editors.

Publication

Providence, RI : American Mathematical Society, [1997], ©1997.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Greene, B. (Brian), 1963-
• Yau, Shing-Tung, 1949-

Description

xvi, 844 pages : illustrations; 27 cm.

Series Statement

AMS/IP studies in advanced mathematics, 1089-3288 ; no. 1

Uniform Title

AMS/IP studies in advanced mathematics ; v. 1.

Subjects

• Quantum field theory
• Mirror symmetry
• Conformal invariants
• Geometry, Enumerative

Bibliography (note)

• Includes bibliographical references and index.

Contents

• I. Construction of Mirror Manifolds. Geometry and Quantum Field Theory: A Brief Introduction / B. R. Greene and H. Ooguri. Constructing Mirror Manifolds / B. R. Greene. Dual Cones and Mirror Symmetry / Victor V. Batyrev and Lev A. Borisov. Mirror Symmetry Constructions: A Review / Per Berglund and Sheldon Katz. On the Elliptic Genus and Mirror Symmetry / Per Berglund and Mans Henningson. Orbifold Euler Characteristic / Shi-shyr Roan -- II. The Structure of Moduli Space. Phases of N = 2 Theories in Two Dimensions / Edward Witten. Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory / Paul S. Aspinwall, Brian R. Greene and David R. Morrison. Picard-Fuchs Equations, Special Geometry and Target Space Duality / A. Ceresole, R. D'Auria, S. Ferrara, W. Lerche, J. Louis and T. Regge. Resolution of Orbifold Singularities in String Theory / Paul S. Aspinwall.
• The Role of c[subscript 2] in Calabi-Yau Classification - a Preliminary Survey / P. M. H. Wilson. Thickening Calabi-Yau moduli spaces / Z. Ran. The Deformation Space of Calabi-Yau n-folds with Canonical Singularities Can Be Obstructed / Mark Gross. Introduction to Duality / Amit Giveon and Martin Rocek. Non-compact Calabi-Yau Spaces and other Non-Trivial Backgrounds for Four-dimensional Superstrings / E. Kiritsis, C. Kounnas and D. Lust. Scaling Behavior On The Space Of Calabi-Yau Manifolds / R. Schimmrigk -- III. Enumerative Issues and Mirror Symmetry. Making enumerative predictions, by Means of Mirror Symmetry / David R. Morrison. Mirror Symmetry for Two Parameter Model - I / Philip Candelas, Xenia de la Ossa, Anamaria Font, Sheldon Katz and David R. Morrison. Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces / S. Hosono, A. Klemm, S. Theisen and S.-T. Yau.
• Gromov-Witten Classes, Quantum Cohomology, and Enumerative Geometry / M. Kontsevich and Yu. Manin. Holomorphic Anomalies in Topological Field Theories / M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa. Local behavior of Hodge structures at infinity / P. Deligne -- IV. Mirror Symmetry in Higher and Lower Dimensions. String Theory on K3 Surfaces / Paul S. Aspinwall and David R. Morrison. K3 Surfaces with Involution and Mirror Pairs of Calabi-Yau Manifolds / Ciprian Borcea. Mirror Manifolds in Higher Dimension / Brian R. Green, David R. Morrison and M. Ronen Plesser. Supermanifolds, Rigid Manifolds and Mirror Symmetry / S. Sethi.

ISBN

0821806343 (alk. paper)

LCCN

96032938

OCLC

ocm35243455

Owning Institutions

Columbia University Libraries