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I might have some use for the answer to the following question, and am just wondering if there is anything in the literature roughly along these lines:
given a symplectic manifold , how much of it is remembered of its structure by the collection of all isotropic subspaces? How much by the collection of all smooth maps into it from all manifolds , such that ?
Is there anything useful that one can say about this (vague as it is)?
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