19 citations · 69 across the 21 of their papers we have counts for
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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…
The Pontryagin Class for Pre-Courant Algebroids
Zhangju Liu, Yunhe Sheng, Xiaomeng Xu
In this paper, we show that the Jacobiator of a pre-Courant algebroid is closed naturally. The corresponding equivalence class is defined as the Pontryagin class, w…
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…