%0 Journal Article
%T Example of singular reduction in symplectic diffeology
%+ The Hebrew University of Jerusalem (HUJ)
%+ Institut de Mathématiques de Marseille (I2M)
%A Iglesias-Zemmour, Patrick
%< avec comité de lecture
%@ 0002-9939
%J Proceedings of the American Mathematical Society
%I American Mathematical Society
%V 144
%N 3
%P 1309-1324
%8 2016-03
%D 2016
%R 10.1090/proc12772
%K symplectic geometry
%K diffeology
%Z 53Dxx, 58Axx; 53D20, 53D99, 58A99
%Z Mathematics [math]/Symplectic Geometry [math.SG]Journal articles
%X 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.
%G English
%L hal-01288677
%U https://hal.science/hal-01288677
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ INSMI
%~ I2M
%~ I2M-2014-