Frolicher structures, diffieties, and a formal KP hierarchy
Exactly Solvable and Integrable Systems
2022-12-16 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We propose a definition of a diffiety based on the theory of Frolicher structures. As a consequence, we obtain a natural Vinogradov sequence and, under the assumption of the existence of a suitable derivation, we can form on it a Kadomtsev-Petviashvili hierarchy which is well-posed.
Keywords
Cite
@article{arxiv.2212.07583,
title = {Frolicher structures, diffieties, and a formal KP hierarchy},
author = {Jean-Pierre Magnot and Enrique G. Reyes and Vladimir Rubtsov},
journal= {arXiv preprint arXiv:2212.07583},
year = {2022}
}
Comments
To appear in Contemporary Mathematics (A.M. Vinogradov Memorial Volume)