Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization

The Self-Duality Equations on a Riemann Surface

Nigel Hitchin · Proceedings of the London Mathematical Society · 1987 · 1.7K citations

Riemannian Geometry, Global Analysis, Complex Geometry +1

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

Simon Donaldson · Proceedings of the London Mathematical Society · 1985 · 1.1K citations

Twistor Theory, Stable Vector Bundles, Quantum Field Theory +4

On the existence of hermitian-yang-mills connections in stable vector bundles

Karen Uhlenbeck, Shing‐Tung Yau · Communications on Pure and Applied Mathematics · 1986 · 909 citations

Gauge Theory, Stable Vector Bundles, Quantum Field Theory +1

Space of Unitary Vector Bundles on a Compact Riemann Surface

C. S. Seshadri · Annals of Mathematics · 1967 · 908 citations

Representation Theory, Free Coherent Sheaf, Riemannian Geometry +8

Variation of hodge structure: The singularities of the period mapping

Wilfried Schmid · Inventiones mathematicae · 1973 · 846 citations

Hodge Structure, Global Geometry, Geometry +3