Example of singular reduction in symplectic diffeology Auteur(s): Iglesias-Zemmour P.
Ref HAL: hal-01288677_v1 DOI: 10.1090/proc12772 Exporter : BibTex | endNote Résumé: We present an example of symplectic reduction in diffeology where the space involved is infinite dimensional and the reduction is singular. This example is a mix of two cases that are not handled by ordinary symplectic geometry. We show that, in this infinite dimensional example, the singularities are distributed in such a way that the symplectic form, restricted to a generic level of the moment map, passes to the reduced space. |