From moment graphs to intersection cohomology
- Cite this article as:
- Braden, T. & MacPherson, R. Math Ann (2001) 321: 533. doi:10.1007/s002080100232
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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.