The Kernel of the Equivariant Kirwan Map and the Residue Formula
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0211119,
title = {The Kernel of the Equivariant Kirwan Map and the Residue Formula},
author = {Lisa C. Jeffrey and Augustin-Liviu Mare},
journal= {arXiv preprint arXiv:math/0211119},
year = {2007}
}
Comments
11 pages