WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities

Anton Alekseev, Andrew Neitzke, Xiaomeng Xu +1

We consider an $n\times n$ system of ODEs on ${\mathbb{P}}^1$ with a simple pole $A$ at $z=0$ and a double pole $u=\mathrm{diag}(u_1,\dots ,u_n)$ at $z=\infty$. This is the simplest si…