The cohomology ring of weight varieties and polygon spaces

Details The cohomology ring of weight varieties and polygon spaces The cohomology ring of weight varieties and polygon spaces

2002-01-15

arxiv.org/abs/math/0201138v1

Advances in Mathematics 160 (2001), no. 2, pp. 175-204

Mathematics

Symplectic Geometry

31 pages, 1 figure

Scientific paper

We use a theorem of Tolman and Weitsman to find explicit formul\ae for 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.

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