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Descent of Deligne-Getzler $\infty$-groupoids

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arxiv 1705.02880 v3 pith:26RKNODK submitted 2017-05-08 math.AT math.QA

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keywords commutesdelignedeligne-getzlerdescentgeneralizationgetzlergroupoidgroupoids
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We prove that Getzler's higher generalization of the Deligne groupoid commutes with totalization and homotopy limits.

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  1. Duflo--Kontsevich-type isomorphisms for Tamarkin--Tsygan calculi of dg manifolds

    math.QA 2026-08 conditional novelty 6.0 of 10

    Hochschild-Kostant-Rosenberg maps twisted by the square root of the Todd class produce an isomorphism of calculi between Tamarkin-Tsygan and Cartan calculi on every dg manifold.

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