85 citations · 493 across the 21 of their papers we have counts for
19 papers · 1 filter
-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…
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…
On Regular Courant Algebroids
Zhuo Chen, Mathieu Stienon, Ping Xu
For any regular Courant algebroid, we construct a characteristic class a la Chern-Weil. This intrinsic invariant of the Courant algebroid is a degree-3 class in its naive cohomolog…
Holomorphic Koszul-Brylinski Homology
Mathieu Stienon
In this note, we study the Koszul-Brylinski homology of holomorphic Poisson manifolds. We show that it is isomorphic to the cohomology of a certain smooth complex Lie algebroid wit…