EQUIVARIANT COHOMOLOGY AND CHERN CLASSES OF ...

• exposé

EQUIVARIANT COHOMOLOGY AND CHERN CLASSES OF SYMMETRIC VARIETIES OF MINIMAL RANK M. BRION AND R. JOSHUA Abstract. We describe the equivariant Chow ring of the wonderful compactifi- cation X of a symmetric space of minimal rank, via restriction to the associated toric variety Y . Also, we show that the restrictions to Y of the tangent bundle TX and its logarithmic analogue SX decompose into a direct sum of line bundles. This yields closed formulae for the equivariant Chern classes of TX and SX , and, in turn, for the Chern classes of reductive groups considered by Kiritchenko.

• symmetric varieties of minimal rank
• symmetric space
• weyl chambers
• equivariant chow
• root system
• weyl group
• cg
• ring
• action