The Kernel of the Equivariant Kirwan Map and the Residue Formula

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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.
11 pages

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Symplectic Geometry, Differential Geometry, 58F05

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http://salesiana.dossiersoluciones.com/handle/123456789/65578

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211119
 http://arxiv.org/abs/math/0211119

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arXiv