Xiaomeng Xu
University of Geneva
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Xiaomeng Xu.
Journal of Geometry and Physics | 2016
Zhangju Liu; Yunhe Sheng; Xiaomeng Xu
In this paper, we show that the Jacobiator J J of a pre-Courant algebroid is closed naturally. The corresponding equivalence class [J ♭ ] [ J ♭ ] is defined as the Pontryagin class, which is the obstruction of a pre-Courant algebroid to be deformed into a Courant algebroid. We construct a Leibniz 2-algebra and a Lie 2-algebra associated to a pre-Courant algebroid and prove that these algebraic structures are isomorphic under deformations. Finally, we introduce the twisted action of a Lie algebra on a manifold to give more examples of pre-Courant algebroids, which include the Cartan geometry.
Journal of Geometry and Physics | 2014
Xiaomeng Xu
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 Courant structure, we give some new results about the Cartan curvature and the Weyl structure of a parabolic geometry. As more direct applications, we have Lie 2-algebra and 3D AKSZ sigma model with background associated to any coisotropic Cartan geometry.
Journal of Mathematical Physics | 2014
Noriaki Ikeda; Xiaomeng Xu
Consistent boundary conditions for Alexandrov-Kontsevich-Schwartz-Zaboronsky (AKSZ) sigma models and the corresponding boundary theories are analyzed. As their mathematical structures, we introduce a generalization of differential graded symplectic manifolds, called twisted QP manifolds, in terms of graded symplectic geometry, canonical functions, and QP pairs. We generalize the AKSZ construction of topological sigma models to sigma models with Wess-Zumino terms and show that all the twisted Poisson-like structures known in the literature can actually be naturally realized as boundary conditions for AKSZ sigma models.
Letters in Mathematical Physics | 2017
Honglei Lang; Yunhe Sheng; Xiaomeng Xu
We study Maurer–Cartan elements on homotopy Poisson manifolds of degree n. They unify many twisted or homotopy structures in Poisson geometry and mathematical physics, such as twisted Poisson manifolds, quasi-Poisson
International Mathematics Research Notices | 2017
Xiaomeng Xu
Communications in Mathematical Physics | 2016
Xiaomeng Xu
\mathfrak g
arXiv: Symplectic Geometry | 2013
Noriaki Ikeda; Xiaomeng Xu
arXiv: Mathematical Physics | 2013
Noriaki Ikeda; Xiaomeng Xu
g-manifolds, and twisted Courant algebroids. Using the fact that the dual of an n-term
arXiv: Mathematical Physics | 2012
Zhangju Liu; Yunhe Sheng; Xiaomeng Xu
Letters in Mathematical Physics | 2018
Anton Alekseev; Florian Naef; Xiaomeng Xu; Chenchang Zhu
L_\infty