The deformed Hermitian-Yang-Mills equation in geometry and physics
From MaRDI portal
Publication:5224930
zbMath1421.35300arXiv1712.00893MaRDI QIDQ5224930
Tristan C. Collins, Dan Xie, Shing Tung Yau
Publication date: 24 July 2019
Full work available at URL: https://arxiv.org/abs/1712.00893
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)
Related Items (18)
Generalized Donaldson functionals and related nonlinear partial differential equations ⋮ The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability ⋮ The supercritical deformed Hermitian Yang-Mills equation on compact projective manifolds ⋮ On the convexity of general inverse \(\sigma_k\) equations ⋮ Stability of line bundle mean curvature flow ⋮ \(J\)-equation on holomorphic vector bundles ⋮ Hypercritical deformed Hermitian-Yang-Mills equation revisited ⋮ Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms ⋮ Pseudoconvexity for the special Lagrangian potential equation ⋮ A rigidity theorem for the deformed Hermitian-Yang-Mills equation ⋮ Collapsing of the line bundle mean curvature flow on Kähler surfaces ⋮ A numerical criterion for generalised Monge-Ampère equations on projective manifolds ⋮ Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow ⋮ A vector bundle version of the Monge-Ampère equation ⋮ Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics ⋮ The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds ⋮ Deformed Hermitian Yang–Mills connections, extended gauge group and scalar curvature ⋮ Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections
This page was built for publication: The deformed Hermitian-Yang-Mills equation in geometry and physics