2 papers
math.DG2025
Monodromy of Darboux transformations of polarised curves
Joseph Cho, Katrin Leschke, Yuta Ogata
We show that every finite type polarised curve in the conformal -sphere with a polynomial conserved quantity admits a resonance point, under a non-orthogonality assumption on th…
math.DG2024
Discrete constant mean curvature cylinders and isothermic tori
Joseph Cho, Katrin Leschke, Yuta Ogata
We consider the monodromy problem of Darboux transforms of discrete isothermic surfaces using the integrable theory of discrete polarised curves. Then we provide, for the first tim…