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Comparison of spaces associated to DGLA via higher holonomy
Published 27 Jun 2019 in math.AT, math.CT, and math.QA | (1906.11977v1)
Abstract: Fof a nilpotent differential graded Lie algebra whose components vanish in degrees below -1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the simplicial set of differential forms with values in the Lie algebra introduced by V.Hinich. The construction uses the theory of non-abelian multiplicative integration.
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