The momentum map in Poisson geometry
classification
🧮 math.SG
math.DG
keywords
momentumpoissonactioncanonicallydefineddiffeomorphismseverygeometry
read the original abstract
Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.
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