Quantum Stokes matrices are constructed for noncommutative meromorphic connections and shown to satisfy exchange relations that realize a deformation quantization of the Riemann-Hilbert-Birkhoff map.
Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
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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 $\mathfrak{gl}_{m|n}$. We prove that its Stokes supermatrices satisfy the Yang-Baxter equation, and thus give rise to the quantum supergroup $U_q(\mathfrak{gl}(m|n))$.
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Quantum Stokes matrices and quantum Riemann-Hilbert-Birkhoff maps
Quantum Stokes matrices are constructed for noncommutative meromorphic connections and shown to satisfy exchange relations that realize a deformation quantization of the Riemann-Hilbert-Birkhoff map.