Stokes Phenomenon and Reflection Equations

In this paper, we study the Stokes phenomenon of cyclotomic Knizhnik–Zamolodchikov equation associated to symmetric pair $$(\mathfrak {gl}_n,\mathfrak {so}_n)$$ , and prove that its two types matrices satisfy Yang–Baxter reflection equations respectively. We briefly discuss isomonodromy deformation, relations with associators, twists quantum pairs.