Frolicher structures, diffieties, and a formal KP hierarchy

2022/12/15 by Jean-Pierre Magnot, Magnot, Jean-Pierre, Enríque G. Reyes +3
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2212.07583

openalex publication_date 2022/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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