85 citations · 493 across the 21 of their papers we have counts for
22 papers
-Algebras from Lie Pairs
Mathieu Stiénon, Luca Vitagliano, Ping Xu
Given an inclusion of Lie algebroids sharing the same base manifold , i.e. a Lie pair, we prove that the space $Γ(Λ^\bullet A^\vee)\otimes_{R} \frac{U(L)}{U…
Shifted derived Poisson manifolds associated with Lie pairs
Ruggero Bandiera, Zhuo Chen, Mathieu Stiénon +1
We study the shifted analogue of the "Lie--Poisson" construction for algebroids and we prove that any algebroid naturally gives rise to shifted derived Poisso…
From Atiyah Classes to Homotopy Leibniz Algebras
Zhuo Chen, Mathieu Stiénon, Ping Xu
A celebrated theorem of Kapranov states that the Atiyah class of the tangent bundle of a complex manifold makes into a Lie algebra object in , the bounded bel…
Poisson 2-groups
Zhuo Chen, Mathieu Stienon, Ping Xu
We prove a 2-categorical analogue of a classical result of Drinfeld: there is a one-to-one correspondence between connected, simply-connected Poisson Lie 2-groups and Lie 2-bialgeb…
Glanon groupoids
Madeleine Jotz, Mathieu Stiénon, Ping Xu
We introduce the notion of Glanon groupoids, which are Lie groupoids equipped with multiplicative generalized complex structures. It combines symplectic groupoids, holomorphic Lie…
Weak Lie 2-bialgebra
Zhuo Chen, Mathieu Stienon, Ping Xu
We introduce the notion of weak Lie 2-bialgebra. Roughly, a weak Lie 2-bialgebra is a pair of compatible 2-term -algebra structures on a vector space and its dual. The co…