The Kernel of the Equivariant Kirwan Map and the Residue Formula
The Kernel of the Equivariant Kirwan Map and the Residue Formula
Using the notion of equivariant Kirwan map, as defined by Goldin, we prove that -- in the case of Hamiltonian torus actions with isolated fixed points -- Tolman and Weitsman's description of the kernel of the Kirwan map can be deduced directly from the residue theorem of Jeffrey and Kirwan. …