3 papers
math.AG2026
K-theory of Gieseker variety and type A cyclotomic Hecke algebra
Vasily Krylov, Raphaël Paegelow, Pavel Shlykov
We give an algebraic description of the equivariant K-theory of Gieseker varieties. Our main result identifies the equivariant K-theory of the Gieseker space with the Jucys--Murphy…
math.AG2025
Nakajima quiver varieties in dimension four
Samuel Lewis, Pavel Shlykov
This paper classifies all 4d Nakajima quiver varieties through a combinatorial approach. For each such variety, we describe the symplectic leaves and minimal degenerations between…
math.RT2022
Hikita-Nakajima conjecture for the Gieseker variety
Vasily Krylov, Pavel Shlykov
Let be an affine Nakajima quiver variety, and is the corresponding BFN Coulomb branch. Assume that can be resolved by the (smooth) N…