Deformations of coisotropic submanifolds for fibrewise entire Poisson

F. Schätz; M. Zambon

doi:10.1007/s11005-013-0614-9

Deformations of coisotropic submanifolds for fibrewise entire Poisson

F. Schätz, M. 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∞-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.

Original language	English
Pages (from-to)	777-791
Number of pages	15
Journal	Letters in Mathematical Physics
Volume	103
DOIs	https://doi.org/10.1007/s11005-013-0614-9
Publication status	Published - 2013

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abstract = "We show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the L∞-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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AU - Zambon, M.

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AB - We show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the L∞-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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DO - 10.1007/s11005-013-0614-9

M3 - Article

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VL - 103

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EP - 791

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

ER -

Deformations of coisotropic submanifolds for fibrewise entire Poisson

Abstract

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