Mirror Symmetry II (AMS/IP Studies in Pure Mathematics)

Mirror Symmetry II (AMS/IP Studies in Pure Mathematics)

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Description

Mirror symmetry has undergone dramatic progress during the last five years. Tremendous insight has been gained on a number of key issues. This volume surveys these results. Some of the contributions in this work have appeared elsewhere, while others were written specifically for this collection. The areas covered are organized into 4 sections, and each presents papers by both physicists and mathematicians. This volume collects the most important developments that have taken place in mathematical physics since 1991. It is an essential reference tool for both mathematics and physics libraries and for students of physics and mathematics.

Contents

Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction by B. R. Greene and H. Ooguri Constructing mirror manifolds by R. R. Greene Dual cones and mirror symmetry by V. V. Batyrev and L. A. Borisov Mirror symmetry constructions: A review by P. Berglund and S. Katz On the elliptic genus and mirror symmetry by P. Berglund and M. Henningson Orbifold Euler characteristic by S.-s. Roan The structure of moduli space: Phase of $N=2$ theories in two dimensions by E. Witten Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory by P. S. Aspinwall, B. R. Greene, and D. R. Morrison Picard-Fuchs equations, special geometry and target space duality by A. Ceresole, R. D'Auria, S. Ferrara, W. Lerche, J. Louis, and T. Regge Resolution of orbifold singularities in string theory by P. S. Aspinwall The role of $c 2$ in Calabi-Yau classification--a preliminary survey by P. H. Wilson Thickening Calabi-Yau moduli spaces by Z. Ran The deformation space of Calabi-Yau $n$-folds with canonical singularities can be obstructed by M. Gross Introduction to duality by A. Giveon and M. Rocek Non-compact Calabi-Yau spaces and other non-trivial backgrounds for four-dimensional superstrings by E. Kiritsis, C. Kounnas, and D. Lust Scaling behavior on the space of Calabi-Yau manifolds by R. Schimmrigk Enumerative issues and mirror symmetry: Making enumerative predictions by means of mirror symmetry by D. R. Morrison Mirror symmetry for two parameter models--I by P. Candelas, X. I. Ossa, A. Font, S. Katz, and D. R. Morrison Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces by S. Hosono, A. Klemm, S. Theisen, and S.-T. Yau Gromov-Witten classes, quantum cohomology, and enumerative geometry by M. Kontsevich and Yu. Manin Holomorphic anomalies in topological field theories by M. Bershadsky, S. Cecotti, H. Ooguri, and C. Vafa Local behavior of Hodge structures at infinity by P. Deligne Mirror symmetry in higher and lower dimensions: String theory on K3 surfaces by P. S. Aspinwall and D. R. Morrison K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds by C. Borcea Mirror manifolds in higher dimension by B. R. Greene, D. R. Morrison, and M. R. Plesser Supermanifolds, rigid manifolds and mirror symmetry by S. Sethi.

Product Details

  • ISBN13: 9780821827444
  • Format: Paperback
  • Number Of Pages: 844
  • ID: 9780821827444
  • ISBN10: 0821827448

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