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Uhlenbeck: connections with Lp bounds on curvature

Contribution grade

Geometry · THEOREM

Reference score255,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved a local Coulomb-gauge result under small critical curvature norm and weak compactness with Lp curvature bounds.

Scientific scope

The record is Uhlenbeck's sole-author 1982 Communications in Mathematical Physics paper. The exact endpoint statements and acknowledged input from Taubes are preserved; the companion removable-singularities paper and later gauge-theory applications remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Uhlenbeck's sole-author 1982 Communications in Mathematical Physics paper. The exact endpoint statements and acknowledged input from Taubes are preserved; the companion removable-singularities paper and later gauge-theory applications 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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