Mirror symmetry

Author(s)

Bibliographic Information

Mirror symmetry

B. Greene and S.-T. Yau, editors

（AMS/IP studies in advanced mathematics, v. 1, 9）

American Mathematical Society , International Press, c1997-c1999

  • 1
  • 1 : pbk
  • 2
  • 2 : pbk

Available at  / 65 libraries

Search this Book/Journal

Note

v. 1: Shing-Tung Yau, editor

Includes bibliographical references and index

Vol.3 has another bibliography <BA41357196>

1: AMS/IP studies in advanced mathematics, v. 9

2: AMS/IP studies in advanced mathematics, v. 1.

Description and Table of Contents

Volume

2 ISBN 9780821806340

Description

Mirror symmetry has undergone dramatic progress since the Mathematical Sciences Research Institute (MSRI) workshop in 1991, whose proceedings constitute volume I of this continuing collection. Tremendous insight has been gained on a number of key issues and this volume surveys these results. The areas covered are organized into four sections, and each presents papers by both physicists and mathematicians.
Volume

1 ISBN 9780821806654

Description

This volume is an updated edition of "Essays on Mirror Manifolds", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development; Vafa introduced the concept of quantum cohomology and several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau and Borcea discussed current knowledge about Calabi-Yau manifolds. Ferrara and his co-authors addressed special geometry and $N=2$ supergravity and Rocek proposed possible mirrors for Calabi-Yau manifolds with torsion. This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.
Volume

1 : pbk ISBN 9780821827437

Description

This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser, and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development. Vafa introduced the concept of quantum cohomology. Several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau, and Borcea discussed current knowledge about Calabi-Yau manifolds. Ferrara and his coauthors addressed special geometry and $N=2$ supergravity. Rocek proposed possible mirrors for Calabi-Yau manifolds with torsion. This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.

Table of Contents

An introduction to mirror manifolds by B. R. Greene and M. R. Plesser A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory by P. Candelas, X. C. de la Ossa, P. S. Green, and L. Parkes Topological mirrors and quantum rings by C. Vafa Mirror manifolds and topological field theory by E. Witten Rational curves and classification of algebraic varieties by Y. Kawamata Rational curves on Calabi-Yau threefolds by S. Katz Picard-Fuchs equations and mirror maps for hypersurfaces by D. R. Morrison Kahler classes on Calabi-Yau threefolds--An informal survey by P. M. H. Wilson Automorphic functions and special Kahler geometry by S. Ferrara, C. Kounnas, D. Lust, and F. Zwirner Picard-Fuchs equations and flat holomorphic connections from $N = 2$ supergravity by S. Ferrara and J. Louis A new geometry from superstring theory by P. S. Aspinwall and C. A. Lutken The geometry of Calabi-Yau orbifolds by S.-S. Roan Properties of superstring vacua from (topological) Landau-Ginzburg models by A. Giveon and D.-J. Smit An $SL(2,\mathbb{C})$ action on certain Jacobian rings and the mirror map by T. Hubsch and S.-T. Yau A generalized construction of mirror manifolds by P. Berglund and T. Hubsch New constructions of mirror manifolds: Probing moduli space far from Fermat points by B. R. Greene, M. R. Plesser, and S.-S. Roan Deformations of Calabi-Yau Kleinfolds by Z. Ran Smoothing 3-folds with trivial canonical bundle and ordinary double points by G. Tian Modified Calabi-Yau manifolds with torsion by M. Rocek Calabi-Yau threefolds and complex multiplication by C. Borcea.
Volume

2 : pbk ISBN 9780821827444

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.

Table of 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.

by "Nielsen BookData"

Related Books： 1-1 of 1

Details

Page Top