Abstract:We construct explicit elements W k ij in (a completion of) the shifted quantum toroidal algebra of type A, and show that these elements act by 0 on the K-theory of moduli spaces of parabolic sheaves. We expect that the quotient of the shifted quantum toroidal algebra by the ideal generated by the elements W k ij will be related to q-deformed W -algebras of type A for arbitrary nilpotent, which would imply a q-deformed version of the AGT correspondence between gauge theory with surface operators and conformal f… Show more
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