Instanton moduli space, stable envelopes and quantum difference equations

2024/08/28 by Tianqing Zhu, Zhu, Tianqing
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Mechanics and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2408.15560

openalex publication_date 2024/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we prove the degeneration limit of the quantum difference equations of instanton moduli space for both algebraic one and the Okounkov-Smirnov geometric one is the Dubrovin connection for the instanton moduli space. As an application, we prove that the Maulik-Okounkov quantum algebra of Jordan type is isomorphic to the quantum toroidal algebra U_q1,q2(\mathfrakgl₁) up to some centres.

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