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

Kavli Affiliate: Andrei Okounkov

| First 5 Authors: Andrei Okounkov, , , ,

| Summary:

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.

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