Notes on the horizontal cohomology
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
This paper is devoted to the horizontal (``characteristic'') cohomology of systems of differential equations. Recent results on computing the horizontal cohomology via the compatibility complex are generalized. New results on the Vinogradov C-spectral sequence and the Krasil'shchik C-cohomology are obtained. As an application of general theory, the examples of an evolution equation and a p-form gauge theory are explicitly worked out.
Cite
@article{arxiv.math/9803115,
title = {Notes on the horizontal cohomology},
author = {Alexander Verbovetsky},
journal= {arXiv preprint arXiv:math/9803115},
year = {2007}
}
Comments
21 pages, AMS-LaTeX 1.2 (based on LaTeX 2e), talk at the conference ``Secondary Calculus and Cohomological Physics'' in Moscow, 1997, to be published in the proceedings of this conference (Contemporary Mathematics, AMS)