English

Stokes phenomenon and reflection equations

Representation Theory 2021-11-16 v2 Mathematical Physics math.MP

Abstract

In this paper, we study the Stokes phenomenon of the cyclotomic Knizhnik-Zamolodchikov equation, and prove that its two types of Stokes matrices satisfy the Yang-Baxter and reflection equations respectively. We then discuss its isomonodromy deformation, and its relations with cyclotomic associators, twists, and quantum symmetric pairs.

Cite

@article{arxiv.2006.03393,
  title  = {Stokes phenomenon and reflection equations},
  author = {Xiaomeng Xu},
  journal= {arXiv preprint arXiv:2006.03393},
  year   = {2021}
}

Comments

16 pages

R2 v1 2026-06-23T16:05:14.807Z