Pursuing quantum difference equations I: stable envelopes of subvarieties

Let X be a symplectic variety equipped with an action of torus \({\mathsf {A}}\). \({\varvec{\nu }}_{b}\subset {\mathsf {A}}\) finite cyclic subgroup. We show that K-theoretic stable envelope the fixed point set \(X^{{\varvec{\nu }}_{b}}\subset X\) can obtained via limit elliptic envelopes X. An example given by Hilbert scheme points in complex plane is considered detail.