Cohomology of Symplectic Reductions of Generic Coadjoint Orbits
نویسنده
چکیده
Let Oλ be a generic coadjoint orbit of a compact semi-simple Lie group K. Weight varieties are the symplectic reductions of Oλ 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 Oλ, and it makes explicit the dependence on λ and a parameter in Lie(T )∗ =: t∗.
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