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math.DG2025
Links between the integrable systems of CMC surfaces, isothermic surfaces and constrained Willmore surfaces
Katrin Leschke
Since constant mean curvature surfaces in 3-space are special cases of isothermic and constrained Willmore surfaces, they give rise to three, apriori distinct, integrable systems.…
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…