  The aim of this paper is to describe how to obtain residue-type formulas for
push-forwards in equivariant cohomology, using the Jeffrey-Kirwan nonabelian
localization theorem and the related result of Guillemin and Kalkman. This
paper relates the description of equivariant push-forwards for homogeneous
spaces of classical Lie groups with the action of the maximal torus with
symplectic geometry, using the example of projective spaces and classical
Grassmannians.
