Notes on the horizontal cohomology
classification
🧮 math.DG
hep-thmath-phmath.APmath.MPnlin.SIsolv-int
keywords
cohomologyhorizontalresultstheoryapplicationc-cohomologyc-spectralcharacteristic
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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.
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