Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

Abstract

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.

References in corpus (1)

• Deformations of coisotropic submanifolds and strong homotopy Lie algebroids

Cited by in corpus (2)

• Simultaneous deformations and Poisson geometry
• Nonabelian higher derived brackets