The ADHM construction of Yang-Mills instantons
Simon Donaldson
TL;DR
This paper explains the ADHM construction method for Yang-Mills instantons on the 4-sphere, providing an accessible overview of a fundamental mathematical technique in gauge theory.
Contribution
It offers an expository overview of the original 1978 ADHM construction, clarifying its mathematical structure and significance in Yang-Mills theory.
Findings
Clarifies the ADHM construction process
Highlights the mathematical elegance of instanton solutions
Provides insights into gauge theory topology
Abstract
This is an expository article on the 1978 Atiyah-Drinfeld-Hitchin-Manin construction of Yang-Mills instanton connections over the 4-sphere.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research · Geometric and Algebraic Topology