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arXiv · 2608.07362

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

Hsuan-Yi Liao·Mathieu Stiénon·Ping Xu
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Abstract

We establish a Duflo--Kontsevich-type theorem for differential graded (dg) manifolds. Specifically, we prove that the Hochschild--Kostant--Rosenberg maps twisted by the square root of the Todd class realize an isomorphism between the Tamarkin--Tsygan calculus and the Cartan calculus of the dg manifold. At the level of cohomology, this confirms the Kontsevich--Shoikhet conjecture formulated in arXiv:math/9812009.

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Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu. 2026-08-07. Duflo--Kontsevich-type isomorphisms for Tamarkin--Tsygan calculi of dg manifolds. https://arxiv.org/abs/2608.07362

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