Localization of Equivariant Cohomology for Compact and Non-compact Group Actions

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dc.creatorBytsenko, A. A.
dc.creatorLibine, M.
dc.creatorWilliams, F. L.
dc.date2005-02-09
dc.date2005-02-11
dc.date.accessioned2026-07-07T05:16:50Z
dc.date.available2026-07-07T05:16:50Z
dc.descriptionWe give a brief introduction to the Berline-Vergne localization formula for the finite-dimensional setting and indicate how the Duistermaat-Heckman formula is derived from it. We consider applications of the localization formula when it is specialized to a maximal dimensional co-adjoint orbit. In particular, the case when the co-adjoint orbit is a quotient $G/T$ of a connected Lie group $G$ modulo a maximal torus $T$ is analyzed in detail. We describe also a generalization of the localization formula to non-compact group actions.
dc.description30 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0502190
dc.identifierhttp://arxiv.org/abs/math/0502190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74135
dc.subjectSymplectic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleLocalization of Equivariant Cohomology for Compact and Non-compact Group Actions
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