Discrete curves in CP1 and the Toda lattice

Abstract

In 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 figures

Cited by in corpus (1)

• Tri-hamiltonian Toda lattice and a canonical bracket for closed discrete curves