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An introduction to mirror manifolds. (English) Zbl 0826.32023
Yau, Shing-Tung (ed.), Essays on mirror manifolds. Cambridge, MA: International Press. 1-30 (1992).
Summary: Mirror symmetry establishes an unexpected and powerful link between a priori unrelated topologically distinct Calabi-Yau manifolds. We give an introduction to the subject of mirror manifolds intended for a mathematical audience. We discuss the explicit construction of mirror pairs which established their existence and also summarize their basic mathematical properties. Some important applications and verifications of mirror symmetry are also discussed.
For the entire collection see [Zbl 0816.00010].

MSC:
32J27 Compact Kähler manifolds: generalizations, classification
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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