The Kernel of the Equivariant Kirwan Map and the Residue Formula

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dc.creatorJeffrey, Lisa C.
dc.creatorMare, Augustin-Liviu
dc.date2002-11-06
dc.date.accessioned2026-07-07T04:52:44Z
dc.date.available2026-07-07T04:52:44Z
dc.descriptionUsing 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0211119
dc.identifierhttp://arxiv.org/abs/math/0211119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65578
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject58F05
dc.titleThe Kernel of the Equivariant Kirwan Map and the Residue Formula
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