The cohomology ring of weight varieties and polygon spaces

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dc.creatorGoldin, R. F.
dc.date2002-01-15
dc.date.accessioned2026-07-07T04:45:53Z
dc.date.available2026-07-07T04:45:53Z
dc.descriptionWe use a theorem of Tolman and Weitsman to find explicit formulæfor the rational cohomology rings of the symplectic reduction of flag varieties in C^n, or generic coadjoint orbits of SU(n), by (maximal) torus actions. We also calculate the cohomology ring of the moduli space of $n$ points in CP^k, which is isomorphic to the Grassmannian of k-planes in C^n, by realizing it as a degenerate coadjoint orbit.
dc.description31 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0201138
dc.identifierhttp://arxiv.org/abs/math/0201138
dc.identifierAdvances in Mathematics 160 (2001), no. 2, pp. 175-204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63121
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject53D20 (Primary), 14M15, 05E99 (Secondary)
dc.titleThe cohomology ring of weight varieties and polygon spaces
dc.typetext

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