Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic
Slodowy varieties
Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic
Slodowy varieties
Let $G$ be a complex reductive algebraic group. In arxiv:2108.03453 Ivan Losev, Lucas mason-Brown and the third-named author suggested a symplectic duality between nilpotent Slodowy slices in $\mathfrak{g}^\vee$ and affinizations of certain $G$-equivariant covers of special nilpotent orbits. In this paper, we study the various versions of Hikita conjecture for …