85 citations · 114 across the 2 of their papers we have counts for
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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…
Modular Classes of Loday Algebroids
Mathieu Stienon, Ping Xu
We introduce the concept of Loday algebroids, a generalization of Courant algebroids. We define the naive cohomology and modular class of a Loday algebroid, and we show that the mo…
Dirac generating operators and Manin triples
Zhuo Chen, Mathieu Stienon
Given a pair of (real or complex) Lie algebroid structures on a vector bundle (over ) and its dual , and a line bundle $\module$ such that $\module\otimes\module=(\wedg…
Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
Camille Laurent-Gengoux, Mathieu Stienon, Ping Xu
We study holomorphic Poisson manifolds and holomorphic Lie algebroids from the viewpoint of real Poisson geometry. We give a characterization of holomorphic Poisson structures in t…
Generalized Complex Submanifolds
James Barton, Mathieu Stienon
We introduce the notion of twisted generalized complex submanifolds and describe an equivalent characterization in terms of Poisson-Dirac submanifolds. Our characterization recover…
Poisson Quasi-Nijenhuis Manifolds
Mathieu Stienon, Ping Xu
We introduce the notion of Poisson quasi-Nijenhuis manifolds generalizing the Poisson-Nijenhuis manifolds of Magri-Morosi. We also investigate the integration problem of Poisson qu…