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Donaldson: gauge theory applied to four-dimensional topology

Contribution grade

Topology · THEOREM

Reference score300,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Used moduli spaces of anti-self-dual connections to derive strong restrictions on intersection forms of smooth simply connected four-manifolds.

Scientific scope

The record is the exact 1983 Journal of Differential Geometry paper. Freedman’s topological classification, later Donaldson invariants, Seiberg–Witten theory and subsequent four-manifold results remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1983 Journal of Differential Geometry paper. Freedman’s topological classification, later Donaldson invariants, Seiberg–Witten theory and subsequent four-manifold results remain separate.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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