In this paper, we consider deforming a coisotropic submanifold Y in a holomorphic Poisson manifold (X,π). Under the assumption that Y has a holomorphic tubular neighborhood, we associate Y with an L∞-algebra that controls the deformations of Y. This L∞-algebra can also be extended to control the simultaneous deformations of the holomorphic Poisson structure π and the coisotropic submanifold Y.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Computational Theory and Mathematics