English

Instanton moduli space, stable envelopes and quantum difference equations

Representation Theory 2024-11-15 v2 Mathematical Physics math.MP Quantum Algebra

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 Uq1,q2(gl^^1)U_{q_1,q_2}(\hat{\hat{\mathfrak{gl}}}_1) up to some centres.

Cite

@article{arxiv.2408.15560,
  title  = {Instanton moduli space, stable envelopes and quantum difference equations},
  author = {Tianqing Zhu},
  journal= {arXiv preprint arXiv:2408.15560},
  year   = {2024}
}

Comments

39 pages. Comments are welcome!

R2 v1 2026-06-28T18:26:12.765Z