The momentum map in Poisson geometry

2007/05/04 by Fernandes, Rui Loja, Ortega, Juan-Pablo, Ratiu, Tudor S. · 1 citation
#53D17 #53D20 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0705.0562

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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