Supercritical deformed Hermitian-Yang-Mills equation

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.

References in corpus (5)

• Mirror Symmetry is T-Duality
• Nonlinear Instantons from Supersymmetric p-Branes
• Hamiltonian 2-forms in Kahler geometry, III Extremal metrics and stability
• K-semistability of cscK manifolds with transcendental cohomology class
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Cited by in corpus (9)

• The deformed Hermitian Yang-Mills equation on three-folds
• Deformed $G_2$-instantons on ${\mathbb{R}}^4\times S^3$
• DHYM connections on higher rank holomorphic vector bundles over $\mathbb{P}(T_{{\mathbb{P}}^2})$
• On K-stability of Calabi-Yau fibrations
• Explicit abelian instantons on $S^1$-invariant Kähler Einstein $6$-manifolds
• On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves
• Minimal slopes and bubbling for complex Hessian equations
• Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections
• Twisted and coupled constant scalar curvature Kähler metrics on minimal ruled surfaces