, Volume 321, Issue 3, pp 533-551

From moment graphs to intersection cohomology

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We describe a method of computing equivariant and ordinary intersection cohomology of certain varieties with actions of algebraic tori, in terms of structure of the zero- and one-dimensional orbits. The class of varieties to which our formula applies includes Schubert varieties in flag varieties and affine flag varieties. We also prove a monotonicity result on local intersection cohomology stalks.

Received: 9 November 2000 / Published online: 24 September 2001