The Kernel of the Equivariant Kirwan Map and the Residue Formula

Details The Kernel of the Equivariant Kirwan Map and the Residue Formula The Kernel of the Equivariant Kirwan Map and the Residue Formula

2002-11-06

arxiv.org/abs/math/0211119v1

Mathematics

Symplectic Geometry

11 pages

Scientific paper

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. A characterization of the kernel of the Kirwan map in terms of residues of one variable (i.e. associated to Hamiltonian circle actions) is obtained.

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