Given a bounded set in the symplectic plane and a translation vector , the linear Hamiltonian generates translation by . Multiplying it by a cutoff that equals one on the entire swept region produces a compactly supported Hamiltonian diffeomorphism that agrees with the translation on the set.

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  1. Hamiltonian flow preserves the symplectic form
  2. Hamiltonian vector field
  3. Symplectic manifold
  4. Symplectic geometry
  5. Differential geometry
  6. Geometry and topology
  7. Area of mathematics
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