Stokes phenomenon and quantum supergroup $U_q(\mathfrak{g}\mathfrak{l}(m\mathrm{\mid }n))$

In this paper we study the Stokes phenomenon of the quantum confluent hypergeometric supersystem, certain meromorphic linear system of ordinary differential equation with a second order pole, associated to the Lie superalgebra ${\mathfrak{g}\mathfrak{l}}_{m\mathrm{\mid }n}$. We prove that its Stokes supermatrices satisfy the Yang-Baxter equation, and thus give rise to the quantum supergroup $U_q(\mathfrak{g}\mathfrak{l}(m\mathrm{\mid }n))$.