Notes on the horizontal cohomology
Verbovetsky, Alexander
arXiv, 9803115 / Harvested from arXiv
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/