85 citations · 493 across the 21 of their papers we have counts for
Showing 2009 · math.DGShow all
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math.DG2009★ 51 cited
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…
math.DG2009★ 9 cited
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…
math.DG2009★ 9 cited
Hypercomplex structures on Courant algebroids
Mathieu Stienon
Hypercomplex structures on Courant algebroids unify holomorphic symplectic structures and usual hypercomplex structures. In this note, we prove the equivalence of two characterizat…