In this article we use the philosophy in [OS22] to construct the quantum
difference equation of affine type A quiver varieties in terms of the quantum
toroidal algebra Uq,tβ(sl^^rβ). In the construction,
and we define the set of wall for each quiver varieties by the action of the
universal R-matrix, which is shown to be almost equivalent to that of the
K-theoretic stable envelope on each interval in H2(X,Q). We also
give the examples of the instanton moduli space M(n,r) and the Hilbert scheme
Hilbnβ(C2/Zrββ) to show the explicit
form of the quantum difference operator.Comment: 59 page