%0 Journal Article %1 fernandes_momentum_2007 %A Fernandes, Rui Loja %A Ortega, Juan-Pablo %A Ratiu, Tudor S %D 2007 %J 0705.0562 %K Groupoids %T The momentum map in Poisson geometry %U http://arxiv.org/abs/0705.0562 %X 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.

@article{fernandes_momentum_2007, 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.}, added-at = {2009-05-11T21:36:02.000+0200}, author = {Fernandes, Rui Loja and Ortega, {Juan-Pablo} and Ratiu, Tudor S}, biburl = {https://www.bibsonomy.org/bibtex/2b7163d077eb0560c653d1b177bbcb87e/tbraden}, interhash = {81968babeee4a8045991e8db5236ae32}, intrahash = {b7163d077eb0560c653d1b177bbcb87e}, journal = {0705.0562}, keywords = {Groupoids}, month = May, timestamp = {2009-05-11T21:36:02.000+0200}, title = {The momentum map in Poisson geometry}, url = {http://arxiv.org/abs/0705.0562}, year = 2007 }