39 citations · 156 across the 12 of their papers we have counts for
4 papers · 1 filter
Polyvector fields and polydifferential operators associated with Lie pairs
Ruggero Bandiera, Mathieu Stiénon, Ping Xu
We prove that the spaces and $\operatorname{tot}\big(Γ(Λ^\bullet A^\vee)\otime…
Formality and Kontsevich--Duflo type theorems for Lie pairs
Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu
$\newcommand{\poly}{_{\operatorname{poly}}^{\bullet}}\newcommand{\td}{(\operatorname{td}_{L/A}^{\nabla})^{\frac{1}{2}}}\newcommand{\cx}[1]{\operatorname{tot}\big(Γ(Λ^\bullet A^\vee…
Fedosov dg manifolds associated with Lie pairs
Mathieu Stiénon, Ping Xu
Given any pair of Lie algebroids, we construct a differential graded manifold , which we call Fedosov dg manifold. We prove that the cohomological vecto…
Exponential map and algebra associated to a Lie pair
Camille Laurent-Gengoux, Mathieu Stiénon, Ping Xu
In this note, we unveil homotopy-rich algebraic structures generated by the Atiyah classes relative to a Lie pair of algebroids. In particular, we prove that the quotient $…