The phenomenon of Mirror Symmetry, in its “classical” version, was first observed for Calabi-Yau manifolds, and mathematicians were introduced to it through a series of remarkable papers [20], [13], [38], [40], [15], [30]. Some very strong conjectures have been made about its topological interpretation – . the Strominger-Yau-Zaslow conjecture. In a different direction, the framework of mirror symmetry was extended by Batyrev, Givental, Hori, Vafa, etc. to the case of Fano manifolds.
