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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…