Hsuan-Yi Liao

activity

20162026

most citedAtiyah classes and Todd classes of pullback dg Lie algebroids associated with Lie pairs

4 citations · 7 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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…

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