definition · DEF-HIGHER-GAUGE-08

Abelian globalization obstruction

Source-defined higher-gauge-descent

For admitted degree-two cocycle data , the connecting class

is the obstruction to extending to the full diagram up to admitted gauge.

Equivalent existence statement. exactly when such a globalization exists. Vanishing does not imply uniqueness; lower cohomology controls ambiguity and automorphisms.

Source

Admissible Witness Descent for Higher Gauge Fields, public website edition v1.0. Not peer reviewed.

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