Stokes phenomenon, reflection equations and Frobenius manifolds
In this paper, we study the Stokes phenomenon of the generalized 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 isomonodormy deformation, and its relations with cyclotomic associators, twists, and quantum symmetric pairs. In the end, we explain our main goal, i.e., to set up a framework to study the quantization of Frobenius manifolds.