Notes on the horizontal cohomology

Simple item page
dc.creatorVerbovetsky, Alexander
dc.date1998-03-24
dc.date.accessioned2026-07-07T06:36:11Z
dc.date.available2026-07-07T06:36:11Z
dc.descriptionThis 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.
dc.description21 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)
dc.identifierhttps://arxiv.org/abs/math/9803115
dc.identifierhttp://arxiv.org/abs/math/9803115
dc.identifierin 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
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100005
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleNotes on the horizontal cohomology
dc.typetext

Files

Collections

arXiv