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math.DG2014★ 1 cited
A special Lagrangian type equation for holomorphic line bundles
Adam Jacob, Shing-Tung Yau
Let be a holomorphic line bundle over a compact Kähler manifold . Motivated by mirror symmetry, we study the deformed Hermitian-Yang-Mills equation on , which is the line…
math.DG2014
Poisson metrics on flat vector bundles over non-compact curves
Tristan C. Collins, Adam Jacob, Shing-Tung Yau
Let (E,D,P) be a flat vector bundle with a parabolic structure over a punctured Riemann surface, (M,g). We consider a deformation of the harmonic metric equation which we call the…