2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64772In this paper we investigate flows on discrete curves in $\C^2$, $\CP^1$, and $\C$. A novel interpretation of the one dimensional Toda lattice hierarchy and reductions thereof as flows on discrete curves will be given.24 pages, 3 figuresDifferential GeometryMathematical Physics52C99; 53A20; 70H06text