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arXiv · 1207.1696

Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

Florian Schaetz·Marco Zambon
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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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Florian Schaetz, Marco Zambon. 2012-07-06. Deformations of coisotropic submanifolds for fibrewise entire Poisson structures. https://doi.org/10.1007/s11005-013-0614-9

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