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.
url: http://muse.jhu.edu/journals/american _journal_of_mathematics/v126/126.4haskins.pdf
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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.