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Mathematics  2012 

Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

DOI: 10.1007/s11005-013-0614-9

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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.

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