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On deformations of coisotropic submanifolds with fixed characteristic foliation

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Geudens,  Stephane       
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Geudens, S. (2024). On deformations of coisotropic submanifolds with fixed characteristic foliation. Letters in Mathematical Physics, 114(1): 5. doi:10.1007/s11005-023-01750-3.


Cite as: https://hdl.handle.net/21.11116/0000-000E-20A3-5
Abstract
It is well-known that the deformation problem of a compact coisotropic submanifold
C in a symplectic manifold is obstructed in general. We show that it becomes unob-
structed if one only allows coisotropic deformations whose characteristic foliation is
diffeomorphic to that of C. This extends an unobstructedness result in the setting of
integral coisotropic submanifolds due to Ruan.