Cohomology of symplectic reductions of generic coadjoint orbits

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dc.creatorGoldin, R. F.
dc.creatorMare, A. -L.
dc.date2002-10-28
dc.date.accessioned2026-07-07T06:18:07Z
dc.date.available2026-07-07T06:18:07Z
dc.descriptionLet mathcal{O}_lambda be a generic coadjoint orbit of a compact semi-simple Lie group K. Weight varieties are the symplectic reductions of mathcal{O}_lambda by the maximal torus T in K. We use a theorem of Tolman and Weitsman to compute the cohomology ring of these varieties. Our formula relies on a Schubert basis of the equivariant cohomology of \mathcal{O}_lambda and it makes explicit the dependence on λand a parameter in Lie(T)^*.
dc.description6 pages. This is a generalization of work done by the first author for SU(n), at math.SG/0201138 published Advances in Mathematics 160 (2001), no. 2, pp. 175-204
dc.identifierhttps://arxiv.org/abs/math/0210434
dc.identifierhttp://arxiv.org/abs/math/0210434
dc.identifierProc. Amer. Math. Soc. 132 (2004), no. 10, 3069--3074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94626
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject53D20 {Primary) 14L24, 14N99 (Secondary)
dc.titleCohomology of symplectic reductions of generic coadjoint orbits
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