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Supercritical deformed Hermitian-Yang-Mills equation

Published 25 May 2020 in math.DG, math-ph, math.CV, math.MP, and math.SG | (2005.12202v1)

Abstract: In this paper, we provide a necessary and sufficient condition for the solvability of the supercritical deformed Hermitian-Yang-Mills equation using integrals on subvarieties. This result confirms the mirror version of the Thomas-Yau conjecture about special Lagrangian submanifolds on Calabi-Yau manifolds.

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