Nekrasov–Shatashvili principle for Baxter subalgebras of the Yangian

Let $Q$ be a quiver, let $\mathsf{Y}_Q$ be its Yangian, and let $\mathfrak{H}\cong(\mathbb{C}^\times)^I$ be the torus with Lie algebra $\mathfrak{h}$. For a Nakajima variety, modified equivariant quantum multiplication means the corresponding algebra of quantum multiplication operators after the modification used in the Nekrasov–Shatashvili setup.

Nekrasov–Shatashvili principle. The Baxter subalgebras of $\mathsf{Y}_Q$ corresponding to $g\in\mathfrak{H}$ are the algebras of modified equivariant quantum multiplication for Nakajima varieties.

This identifies commutative Baxter subalgebras in the Yangian with quantum multiplication algebras, linking the representation theory of quiver Yangians to equivariant quantum cohomology. The source supplies no evidence of resolution.