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May 21, 2021 at 3:43 vote accept Nagaraj Iyengar
May 20, 2021 at 16:24 comment added Ben McKay I am sorry that I don't understand either question. The construction doesn't require a Lagrangian manifold, so it doesn't require that any obstruction vanish. I don't know what Egorov conjugation, the base diffeo, the canonical map, the closed diagram, or the pullbacks are; these terms do not appear in the paper you cite.
May 20, 2021 at 3:03 comment added Nagaraj Iyengar Thanks again Prof. McKay. I request some clarifications: 1. Does your global construction take note of the 'obstruction' to the global definability via non-degenerate phase functions of a Lagrangian submanifold? (please refer Lees, J.A, Trans Am, Vol 250, pp 213-222 (1979)) 2. At the level of the Hamiltonian and via Egorov conjugation relative to a single fiber coordinate, how to compute the base diffeo whose 'associated' canonical map completes the closed diagram for vector fields via pull backs?
May 11, 2021 at 9:56 history edited Ben McKay CC BY-SA 4.0
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May 11, 2021 at 9:34 history answered Ben McKay CC BY-SA 4.0