From quantum difference equation to Dubrovin connection of affine type A quiver varieties

This is the continuation of the article Z23. In this article we will give a detailed analysis of the quantum difference equation of the equivariant K-theory of the affine type A quiver varieties. We will give a good representation of the quantum difference operator M₋ (z) such that the monodromy operator B₌ (z) in the formula can be written in the Uₐ (sl₂) -form or in the Uₐ (gl₁) -form. We also give the detailed analysis of the connection matrix for the quantum difference equation in the nodal limit p0. Using these two results, we prove that the degeneration limit of the quantum difference equation is the Dubrovin connection for the quantum cohomology of the affine type A quiver varieties, and the monodromy representation for the Dubrovin connection is generated by the monodromy operators B₌.