Pursuing quantum difference equations I: stable envelopes of subvarieties

Let $X$ be a symplectic variety equipped with an action of a torus $A$. Let $ν\subset A$ be a finite cyclic subgroup. We show that K-theoretic stable envelope of subvarieties $X^ν\subset X$ can be obtained via various limits of the elliptic stable envelopes of $X$. An example of $X$ given by the Hilbert scheme of points in the complex plane is considered in details.

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