definition · DEF-HIGHER-GAUGE-07

Relative defect complex

Source-defined higher-gauge-descent

For a restriction of abelian cochain complexes , the relative defect complex is

The shift is essential. Its cohomology separates obstruction, ambiguity, and symmetry degrees.

Equivalent formulations. , restriction is a quasi-isomorphism, and all cohomology groups vanish are equivalent in the derived category.

Source

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 Not peer reviewed.

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