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Notes on the horizontal cohomology

Alexander Verbovetsky
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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.

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Alexander Verbovetsky. 1998-03-24. Notes on the horizontal cohomology. https://arxiv.org/abs/math/9803115

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