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math.DG2000
Mirror symmetry without corrections
Naichung Conan Leung
We give geometric explanations and proofs of various mirror symmetry conjectures for -invariant Calabi-Yau manifolds when instanton corrections are absent. This uses fiberwi…
math.DG2000
From Special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform
Naichung Conan Leung, Shing-Tung Yau, Eric Zaslow
We exhibit a transformation taking special Lagrangian submanifolds of a Calabi-Yau together with local systems to vector bundles over the mirror manifold with connections obeying d…