# Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

We show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the $L_\infty$-algebra introduced by Oh-Park (for symplectic manifolds) and Cattaneo-Felder. In the symplectic case, we recover results previously obtained by Oh-Park. Moreover we consider the extended deformation problem and prove its obstructedness.

Article:

Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

Journal:

ArXiv preprint

Year:

2012

URL:

http://arxiv.org/abs/1207.1696v1