Quantitative Thomas-Yau uniqueness

Published 17 Jul 2022 in math.SG and math.DG | (2207.08047v1)

Abstract: Under Floer theoretic conditions, we obtain quantitative estimates on the closeness (Hausdorff distance, flat norm, F-metric) between two Lagrangians, depending on the smallness of Lagrangian angles. Some applications include a strong-weak uniqueness theorem for special Lagrangians, and a characterization of varifold convergence to special Lagrangians in terms of Lagrangian angles.

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Yang Li

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