Proves existence of asymptotically cylindrical U(1)-invariant special Lagrangians in X × C (X an A2 ALE hyperkähler 4-manifold) by solving a singular Monge-Ampère equation and applying geometric measure theory.
Associative submanifolds and gradient cycles
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On the Donaldson-Scaduto conjecture
Proves existence of asymptotically cylindrical U(1)-invariant special Lagrangians in X × C (X an A2 ALE hyperkähler 4-manifold) by solving a singular Monge-Ampère equation and applying geometric measure theory.