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arxiv: 1702.02529 · v3 · pith:6KCBO574new · submitted 2017-02-08 · 🧮 math.AT · math.CT· math.QA

Representing the deformation infty-groupoid

classification 🧮 math.AT math.CTmath.QA
keywords groupoidinftyalgebraalgebrasassociatedcasecosimplicialdeformation
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The goal of the present paper is to introduce a smaller, but equivalent version of the Deligne-Hinich-Getzler $\infty$-groupoid associated to a homotopy Lie algebra. In the case of differential graded Lie algebras, we represent it by a universal cosimplicial object.

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