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Uhlenbeck: connections with Lp bounds on curvature

Proved local Coulomb-gauge existence under small critical curvature norm and a weak compactness theorem for connections with bounded Lp curvature under the paper's hypotheses.

What is recorded here?

Proved local Coulomb-gauge existence under small critical curvature norm and a weak compactness theorem for connections with bounded Lp curvature under the paper's hypotheses.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

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.

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People and systems

Karen K. Uhlenbeck

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States

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English catalogue narrative

Uhlenbeck: connections with Lp bounds on curvature

Proved local Coulomb-gauge existence under small critical curvature norm and a weak compactness theorem for connections with bounded Lp curvature under the paper's hypotheses.

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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Karen K. Uhlenbeck

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources