  It is a remarkable theorem by Maffei--Nakajima that the Slodowy variety,
which is a subvariety of the resolution of the nilpotent cone, can be realized
as a Nakajima quiver variety of type A. However, the isomorphism is rather
implicit as it takes to solve a system of equations in which the variables are
linear maps. In this paper, we construct solutions to this system under certain
assumptions. This establishes an explicit and efficient way to compute the
image of a complete flag contained in the Slodowy variety under the
Maffei--Nakajima isomorphism and describe these flags in terms of quiver
representations. As Slodowy varieties contain Springer fibers naturally, we can
use these results to provide an explicit description of the irreducible
components of two-row Springer fibers in terms of a family of kernel relations
via quiver representations.
