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Elliptic stable envelope for Hilbert scheme of points in the plane

Published 23 Apr 2018 in math.AG, hep-th, math-ph, math.MP, and math.RT | (1804.08779v4)

Abstract: We find an explicit formula for the elliptic stable envelope in the case of the Hilbert scheme of points on a complex plane. The formula has a structure of a sum over trees in Young diagrams. In the limit we obtain the formulas for the stable envelope in equivariant $K$-theory (with arbitrary slope) and equivariant cohomology.

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