Differentiating L∞ groupoids
Abstract
Differentiating an Lie n-groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is representable by the tangent complex of the Lie n-groupoid. As an immediate consequence we obtain that the tangent complex carries the structure of a Lie n-algebroid.
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