Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.
Eliashberg, Filling by holomorphic discs and its applications, Geometry of low-dimensional manifolds, 2 (Durham, 1989), London Math
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Special Lagrangian webbing
Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.