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The Cohomology Ring of Weight Varieties and Polygon Spaces

✍ Scribed by R.F. Goldin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
251 KB
Volume
160
Category
Article
ISSN
0001-8708

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✦ Synopsis

We use a theorem of S. Tolman and J. Weitsman (The cohomology rings of Abelian symplectic quotients, math. DGΓ‚9807173) to find explicit formul$ 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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