19 citations · 69 across the 21 of their papers we have counts for
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String principal bundles and Courant algebroids
Yunhe Sheng, Xiaomeng Xu, Chenchang Zhu
Just like Atiyah Lie algebroids encode the infinitesimal symmetries of principal bundles, exact Courant algebroids are believed to encode the infinitesimal symmetries of -gerb…
Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces
Xiaomeng Xu
In this paper, we explain how generalized dynamical r-matrices can be obtained by (quasi-)Poisson reduction. New examples of Poisson structures and Poisson groupoid actions natural…
Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
Honglei Lang, Yunhe Sheng, Xiaomeng Xu
We study Maurer-Cartan elements on homotopy Poisson manifolds of degree . They unify many twisted or homotopy structures in Poisson geometry and mathematical physics, such as tw…
Cohomology for almost Lie algebroids
Melchior Grützmann, Xiaomeng Xu
We give numerous examples of almost Lie algebroids arising as Dirac structures in pre-Courant algebroids, e.g. from twisted Poisson structures, as well as from twisted actions of a…
Twisted Courant algebroids and coisotropic Cartan geometries
Xu Xiaomeng
In this paper, we show that associated to any coisotropic Cartan geometry there is a twisted Courant algebroid. This includes in particular parabolic geometries. Using this twisted…
Dirac and Generalized Complex Structures on Cartan Geometries
Honglei Lang, Xiaomeng Xu
We introduce linear Dirac and generalized complex structures on Cartan geometries and give criteria for Dirac subalgebras of $\frkg\ltimes\frkg^*$ representing Dirac structures on…