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The geometry underlying mirror symmetry

The geometry underlying mirror symmetry

The recent result of Strominger, Yau and Zaslow relating mirror symmetry to the quantum field theory notion of T-duality is reinterpreted as providing a way of characterizing geometrically which Calabi-Yau manifolds have mirror partners. The geometric description is rather surprising: one Calabi-Yau manifold should serve as a compactified, complexified moduli …