1995/09/26 by D. Gieseker · 1 citation
Mathematics · #alg-geom #math.AG
paper · pdf · doi:10.1007/bf02101288
AMSTeX
arxiv created 1995/09/26 · arxiv updated 2009/11/30
The Toda hierarchy of size N is well known to be analogous to the KdV hierarchy at N goes to infinity. This paper shows that given f a periodic function, there is a canonical way of defining the initial data for the Toda lattice equations so that the evolution of this data under the Toda lattice hierarchy looks asymptotically like the evolution of f under the KdV hierarchy. Further, the conserved quantities of f and those of the Toda hierarchy match.