The Self-Duality Equations on a Riemann Surface

1987/07/01 by Nigel Hitchin, N. J. Hitchin · 120 citations
Mathematics · #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · doi:10.1112/plms/s3-55.1.59

Abstract

In this paper we shall study a special class of solutions of the self-dual Yang-Mills equations. The original self-duality equations which arose in mathematical physics were defined on Euclidean 4-space. The physically relevant solutions were the ones with finite action—the so-called 'instantons'. The same equations may be

Citations

• Harmonic Mappings of Riemannian Manifolds
• Vector Bundles Over an Elliptic Curve

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