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

2020/10/25 by Andreĭ Okounkov, Okounkov, Andrei
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2010.13217

openalex publication_date 2020/10/25 · openalex created_date 2021/05/10 · openalex updated_date 2026/07/28

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.

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