Deformation in holomorphic Poisson manifolds

作者：Ji Xiang^*

来源：Differential Geometry and its Applications, 2016, 49: 277-286.

DOI：10.1016/j.difgeo.2016.08.007

• Deformation
• Coisotropic submanifold
• Holomorphic Poisson manifold

In this paper, we consider deforming a coisotropic submanifold Y in a holomorphic Poisson manifold (X, pi). Under the assumption that Y has a holomorphic tubular neighborhood, we associate Y with an L-infinity-algebra that controls the deformations of Y. This L-infinity-algebra can also be extended to control the simultaneous deformations of the holomorphic Poisson structure pi and the coisotropic submanifold Y.

• 出版日期2016-12