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Answer by Vladimir S Matveev for Obstructions to maximal number of...

Any symplectic 2n-dimensionalmanifold admits a systems of Poisson-commuting functions $f_1,..,f_n$ whose differentials are linearly independent on an open subset of full measure.The result is proven in...

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Obstructions to maximal number of independent constants of motion in a given...

Given a compact symplectic manifold $(X, \omega)$, are there any invariants (topological or easily computable geometric/analytic ones) which give an estimate of the maximal number of independent...

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