Special Lagrangian submanifolds of log Calabi-Yau manifolds
The authors prove that if \(X\) is a Tian-Yau manifold and if the compact Calabi-Yau manifold at infinity admits a single special Lagrangian, then \(X\) admits infinitely many disjoint special Lagrangians. They effectively obtain resolutions of some conjectures of Auroux. They also apply their result to mirror symmetry for del Pezzo surfaces and rational elliptic surfaces.
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