Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
Symplectic Geometry
2015-06-05 v1 Differential Geometry
Abstract
We show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the -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.
Keywords
Cite
@article{arxiv.1207.1696,
title = {Deformations of coisotropic submanifolds for fibrewise entire Poisson structures},
author = {Florian Schaetz and Marco Zambon},
journal= {arXiv preprint arXiv:1207.1696},
year = {2015}
}