Concepedia

The geometry of the Yang-Mills moduli space for definite manifolds

Journal of Differential Geometry · 1989 · 40 citations · 9 references

Open access

Concepts

Integral GeometryRiemannian GeometryForme D'intersection DefinieDes 4-VarietesLie TheoryGauge Field TheoryL'espace Des ModulesComplex GeometryGauge TheoryDefinite Manifolds

Abstract

On etudie la geometrie riemannienne de l'espace des modules Μ des connexions auto-duales SU(2) k=1 sur une classe tres generale de 4-varietes: des 4-varietes compactes orientees simplement connexe M a forme d'intersection definie positive

References

9

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

An application of gauge theory to four-dimensional topology

Simon Donaldson · Journal of Differential Geometry · 1983 · 832 citations · Full text

U 1, Forme Est Equivalente, Gauge Field Theory +3

On the heat equation and the index theorem

Michael Atiyah, R. Bott, V. K. Patodi · Inventiones mathematicae · 1973 · 728 citations

Heat Equation, Global Analysis, Resolvent Kernel

Connections withL P bounds on curvature

Karen Uhlenbeck · Communications in Mathematical Physics · 1982 · 654 citations

Global Geometry, Geometric Partial Differential Equation, Geometry +2

Self-dual Yang-Mills connections on non-self-dual 4-manifolds

Clifford Henry Taubes · Journal of Differential Geometry · 1982 · 222 citations · Full text

Self-dual Yang-mills Connections, Gauge Theory, Quantum Field Theory +1