Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold

DOI10.1007/s00209-018-2050-0zbMath1401.53074arXiv1707.09717OpenAlexW2963704833WikidataQ130187227 ScholiaQ130187227MaRDI QIDQ1794572

Hikaru Yamamoto

Publication date: 15 October 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09717

zbMATH Keywords

mirror symmetryspecial Lagrangian submanifoldtropical geometrydeformed Hermitian Yang-Mills connection

Mathematics Subject Classification ID

Calibrations and calibrated geometries (53C38) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (3)

The deformed Hermitian Yang-Mills equation on three-folds ⋮ A numerical criterion for generalised Monge-Ampère equations on projective manifolds ⋮ Reconstruction of holomorphic tangent bundle of complex projective plane via tropical Lagrangian multi-section

Cites Work

• From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform.
• Calibrated geometries
• Mirror symmetry is \(T\)-duality
• A special Lagrangian type equation for holomorphic line bundles
• Homological mirror symmetry for A _n -resolutions as a T -duality
• Mirror Symmetry and the Strominger-Yau-Zaslow conjecture
• Nonlinear instantons from supersymmetric \(p\)-branes

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