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

On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I

Shing‐Tung Yau · Communications on Pure and Applied Mathematics · 1978 · 2.5K citations

Natural Sciences, Physics, Differential Equations +13

The Yang-Mills equations over Riemann surfaces

Michael Atiyah, Raoul Bott · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1983 · 2K citations

Natural Sciences, Mathematics, Physics +17

Construction of instantons

Michael Atiyah, Nigel Hitchin, Vladimir Drinfeld et al. · Physics Letters A · 1978 · 1.5K citations

Self-duality in four-dimensional Riemannian geometry

Michael Atiyah, Nigel Hitchin, I. M. Singer · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1978 · 1.5K citations

Natural Sciences, Mathematics, Physics +17

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

Natural Sciences, Physics, Electromagnetism +15