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math.AG2026
The quantum Hikita conjecture via quasimaps
Hunter Dinkins, Ivan Karpov, Vasily Krylov
We propose a refinement of the quantum Hikita conjecture of Kamnitzer, McBreen, and Proudfoot that bridges the representation theory of Coulomb branches with the enumerative geomet…
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…