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math.DG2024
The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon
Xiaomeng Xu
The Alekseev-Meinrenken diffeomorphism is a distinguished diffeomorphism from the space of Hermitian matrices to the space of positive definite Hermitian ma…
math.DG2012★ 4 cited
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…
math.DG2012★ 1 cited
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…