  Springer fibers are subvarieties of the flag variety parametrized by
partitions; they are central objects of study in geometric representation
theory. Schubert varieties are subvarieties of the flag variety that induce a
well-known basis for the cohomology of the flag variety. This paper relates
these two varieties combinatorially. We prove that the Betti numbers of the
Springer fiber associated to a partition with at most three rows or two columns
are equal to the Betti numbers of a specific union of Schubert varieties.
