3 papers
math.QA2026
Duflo--Kontsevich-type isomorphisms for Tamarkin--Tsygan calculi of dg manifolds
Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu
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…
math.DG2025
On the structure of étale fibrations of -bundles
Kai Behrend, Hsuan-Yi Liao, Ping Xu
We prove that an étale fibration between -bundles admits local sections composed of several elementary morphisms of particularly simple and accessible type. As applicati…
math.DG2025
Formal geometry and Tamarkin--Tsygan calculi of dg manifolds
Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu
The main goal of this paper is to study the formal geometry of dg manifolds à la Fedosov. For any dg manifold , we construct a Fedosov dg foliation (or dg Lie alg…