Notes on the horizontal cohomology

Details Notes on the horizontal cohomology Notes on the horizontal cohomology

1998-03-24

arxiv.org/abs/math/9803115v1

in Secondary Calculus and Cohomological Physics (M. Henneaux, I. S. Krasil'shchik, and A. M. Vinogradov, eds.), Contemporary M

Mathematics

Differential Geometry

21 pages, AMS-LaTeX 1.2 (based on LaTeX 2e), talk at the conference ``Secondary Calculus and Cohomological Physics'' in Moscow

Scientific paper

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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