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I thought of it and then moved the material on Hamiltonian mechanics from [[symplectic geometry]] to its own entry at [[Hamiltonian mechanics]]
I added an idea. Note that one can generalise further from symplectic manifolds to Poisson manifolds; John wrote something about this in (I think) an early TWF.
Yes, and in fact much of the most interesting developments in the Weinstein program comes from the aim to generalize geometric quantization to the case of just Poisson manifolds. All eventually to be discussed..
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