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- W3100033269 abstract "In this paper we construct the action of Ding-Iohara and shuffle algebras on the sum of localized equivariant K-groups of Hilbert schemes of points on C2. We show that commutative elements Ki of shuffle algebra act through vertex operators over the positive part {hi}i>0 of the Heisenberg algebra in these K-groups. Hence we get an action of Heisenberg algebra itself. Finally, we normalize the basis of the structure sheaves of fixed points in such a way that it corresponds to the basis of Macdonald polynomials in the Fock space C[h1,h2,…]." @default.
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- W3100033269 date "2011-01-01" @default.
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- W3100033269 title "Equivariant K-theory of Hilbert schemes via shuffle algebra" @default.
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- W3100033269 doi "https://doi.org/10.1215/21562261-1424875" @default.
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