  The Springer resolution of the nilpotent cone is used to give a geometric
construction of the irreducible representations of Weyl groups. Borho and
MacPherson obtain the Springer correspondence by applying the decomposition
theorem to the Springer resolution, establishing an injective map from the set
of irreducible Weyl group representations to simple equivariant perverse
sheaves on the nilpotent cone. In this manuscript, we consider a generalization
of the Springer resolution using a variety defined by the first author. Our
main result shows that in the type A case, applying the decomposition theorem
to this map yields all simple perverse sheaves on the nilpotent cone with
multiplicity as predicted by Lusztig's generalized Springer correspondence.
