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Deformations of Coisotropic Submanifolds for Fibrewise Entire Poisson Structures

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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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Authors and Affiliations

  1. Department of Mathematics, Utrecht University, 3508 TA, Utrecht, The Netherlands

    Florian Schätz

  2. Universidad Autónoma de Madrid (Departamento de Matemáticas) and ICMAT(CSIC-UAM-UC3M-UCM), Campus de Cantoblanco, 28049, Madrid, Spain

    Marco Zambon

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  1. Florian Schätz
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  2. Marco Zambon
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Correspondence to Marco Zambon.

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Schätz, F., Zambon, M. Deformations of Coisotropic Submanifolds for Fibrewise Entire Poisson Structures. Lett Math Phys 103, 777–791 (2013). https://doi.org/10.1007/s11005-013-0614-9

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  • DOI: https://doi.org/10.1007/s11005-013-0614-9

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