Hsuan-Yi Liao

activity

20232026

collaborators

5 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

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 $(M, Q)$ , we construct a Fedosov dg foliation (or dg Lie alg…

math.DG2023

Vertical isomorphisms of Fedosov dg manifolds associated with a Lie pair

Hua-Shin Chang, Hsuan-Yi Liao

We investigate vertical isomorphisms of Fedosov dg manifolds associated with a Lie pair $(L, A)$ , i.e. a pair of a Lie algebroid $L$ and a Lie subalgebroid $A$ of $L$ . The construct…

math.DG2023

Differential graded manifolds of finite positive amplitude

Kai Behrend, Hsuan-Yi Liao, Ping Xu

We prove that dg manifolds of finite positive amplitude, i.e. bundles of positively graded curved $L_{\infty} [1]$ -algebras, form a category of fibrant objects. As a main step in the…

math.DG2023

On the structure of étale fibrations of $L_{\infty}$ -bundles

Kai Behrend, Hsuan-Yi Liao, Ping Xu

We prove that an étale fibration between $L_{\infty}$ -bundles admits local sections composed of several elementary morphisms of particularly simple and accessible type. As applicatio…

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

Formal geometry and Tamarkin--Tsygan calculi of dg manifolds

Vertical isomorphisms of Fedosov dg manifolds associated with a Lie pair

Differential graded manifolds of finite positive amplitude

On the structure of étale fibrations of L∞​-bundles

On the structure of étale fibrations of $L_{\infty}$ -bundles