English

Nonabelian stable envelopes, vertex functions with descendents, and integral solutions of $q$-difference equations

Algebraic Geometry 2021-04-30 v2 Mathematical Physics math.MP Representation Theory

Abstract

We generalize the construction of elliptic stable envelopes to actions of connected reductive groups and give a direct inductive proof of their existence and uniqueness in a rather general situation. We show these have powerful enumerative applications, in particular, to the computation of vertex functions and their monodromy.

Keywords

Cite

@article{arxiv.2010.13217,
  title  = {Nonabelian stable envelopes, vertex functions with descendents, and integral solutions of $q$-difference equations},
  author = {Andrei Okounkov},
  journal= {arXiv preprint arXiv:2010.13217},
  year   = {2021}
}