  We describe the irreducible components of Springer fibers for hook and
two-row nilpotent elements of gl_n(C) as iterated bundles of flag manifolds and
Grassmannians. We then relate the topology (in particular, the intersection
homology Poincare' polynomials) of the intersections of these components with
the inner products of the Kazhdan-Lusztig basis elements of irreducible
representations of the rational Iwahori-Hecke algebra of type A corresponding
to the hook and two-row Young shapes.
