The Hamiltonian reduction \({\mathcal {N}}/\!\!/\!\!/T\) of the nilpotent cone in \(\mathfrak {sl}_n\) by the torus of diagonal matrices is a Nakajima quiver variety which admits a symplectic resolution \(\widetilde{{\mathcal {N}}/\!\!/\!\!/T},\) and the corresponding BFN Coulomb branch is the affine closure \(\overline{T^*(G/U)}\) of the cotangent bundle of the base affine space. We construct a surjective map \({\mathbb {C}}\left[ \overline{T^*(G/U)}^{T\times B/U}\right] \twoheadrightarrow H^*\left( \widetilde{{\mathcal {N}}/\!\!/\!\!/T}\right) \) of graded algebras, which the Hikita conjecture predicts to be an isomorphism. Our map is inherited from a related case of the Hikita conjecture and factors through Kirwan surjectivity for quiver varieties. We conjecture that many other Hikita maps can be inherited from that of a related dual pair.
