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Hamiltonian systems, symplectic flows, classical integrable systems

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Topological obstruction for making a submanifold Lagrangian

Let $M$ be a manifold of symplectic type (we do not fix a particular symplectic form) and $N \subset M$ a submanifold of half the dimension. Is there a topological obstruction on the pair $(M, N)$ for …
Mattis Bakken's user avatar