Elliptic stable envelope for Hilbert scheme of points in the plane

Andrey Smirnov

Elliptic stable envelope for Hilbert scheme of points in the plane

Algebraic Geometry 2019-11-22 v4 High Energy Physics - Theory Mathematical Physics math.MP Representation Theory

Authors: Andrey Smirnov

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.

Keywords

elliptic stable envelope hilbert scheme of points young diagrams equivariant k-theory equivariant cohomology complex plane

Cite

@article{arxiv.1804.08779,
  title  = {Elliptic stable envelope for Hilbert scheme of points in the plane},
  author = {Andrey Smirnov},
  journal= {arXiv preprint arXiv:1804.08779},
  year   = {2019}
}

Comments

65 pages

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