English

Discrete curves in CP1 and the Toda lattice

Differential Geometry 2007-05-23 v1 Mathematical Physics math.MP

Abstract

In this paper we investigate flows on discrete curves in \C2\C^2, \CP1\CP^1, and \C\C. A novel interpretation of the one dimensional Toda lattice hierarchy and reductions thereof as flows on discrete curves will be given.

Keywords

Cite

@article{arxiv.math/0208190,
  title  = {Discrete curves in CP1 and the Toda lattice},
  author = {Tim Hoffmann and Nadja Kutz},
  journal= {arXiv preprint arXiv:math/0208190},
  year   = {2007}
}

Comments

24 pages, 3 figures