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math.SG2007
Symplectic Group Actions and Covering Spaces
James Montaldi, Juan-Pablo Ortega
For symplectic group actions which are not Hamiltonian there are two ways to define reduction. Firstly using the cylinder-valued momentum map and secondly lifting the action to any…
math.SG2007★ 3 cited
The momentum map in Poisson geometry
Rui Loja Fernandes, Juan-Pablo Ortega, Tudor S. Ratiu
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 variou…