Conjecture 1 equates the chamber-limit vertex function of a quiver variety with a q-binomial product whose exponents are the weights of the repelling tangent subspace at the mirror fixed point.
Elliptic stable envelope for Hilbert scheme of points in the plane
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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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Characters of tangent spaces at torus fixed points and $3d$-mirror symmetry
Conjecture 1 equates the chamber-limit vertex function of a quiver variety with a q-binomial product whose exponents are the weights of the repelling tangent subspace at the mirror fixed point.