Fernandes, Rui LojaOrtega, Juan-PabloRatiu, Tudor S.2010-11-302010-11-302010-11-30200910.1353/ajm.0.0068https://infoscience.epfl.ch/handle/20.500.14299/59817WOS:000270438900003Every 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.Symplectic GroupoidsLie AlgebroidsConvexityReductionBracketsSpacesIntegrabilitytext::journal::journal article::research article