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.
Publié le : 1998-03-24
Classification:
Mathematics - Differential Geometry,
High Energy Physics - Theory,
Mathematical Physics,
Mathematics - Analysis of PDEs,
Nonlinear Sciences - Exactly Solvable and Integrable Systems
@article{9803115,
author = {Verbovetsky, Alexander},
title = {Notes on the horizontal cohomology},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9803115}
}
Verbovetsky, Alexander. Notes on the horizontal cohomology. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9803115/