Notes on the horizontal cohomology

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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.
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)

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, Analysis of PDEs, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/100005

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9803115
 http://arxiv.org/abs/math/9803115
 in Secondary Calculus and Cohomological Physics (M. Henneaux, I. S. Krasil'shchik, and A. M. Vinogradov, eds.), Contemporary Mathematics, Amer. Math. Soc., Providence, R.I., 1998, pp. 211-231

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