Jotz, M. M.Ratiu, T. S.2013-03-282013-03-282013-03-28201310.1093/imrn/rnr239https://infoscience.epfl.ch/handle/20.500.14299/91009WOS:000312653500003The purpose of this paper is to generalize the (Poisson) Optimal Reduction Theorem in Ortega and Ratiu [Momentum Maps and Hamiltonian Reduction. Progress in Mathematics 222. Boston, MA: Birkhauser. xxxiv, 497pp., 2004] to general proper Lie group actions on Dirac manifolds, formulated both in terms of point and orbit reduction. A comparison to general standard singular Dirac reduction is given emphasizing the desingularization role played by optimal reduction.text::journal::journal article::research article