Mirror Symmetry 1 (Ams/Ip Studies in Advanced Mathematics, V. 9)

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.