The modular hierarchy of the Toda lattice

Details The modular hierarchy of the Toda lattice The modular hierarchy of the Toda lattice

2007-01-02

arxiv.org/abs/math/0701057v1

Mathematics

Differential Geometry

16 pages, 29 references, to appear in Differential Geometry and its applications

Scientific paper

The modular vector field plays an important role in the theory of Poisson
manifolds and is intimately connected with the Poisson cohomology of the space.
In this paper we investigate its significance in the theory of integrable
systems. We illustrate in detail the case of the Toda lattice both in Flaschka
and natural coordinates.

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