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

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

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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.

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.

Product Details

  • ISBN13: 9780821827437
  • Format: Paperback
  • Number Of Pages: 444
  • ID: 9780821827437
  • ISBN10: 082182743X

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