Homological Methods in Equations of Mathematical Physics

dc.creatorKrasil'shchik, Joseph
dc.creatorVerbovetsky, Alexander
dc.date1998-08-31
dc.date1998-12-21
dc.date.accessioned2026-07-07T05:25:50Z
dc.date.available2026-07-07T05:25:50Z
dc.descriptionThese lecture notes are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations: the Vinogradov C-spectral sequence and the C-cohomology, including the formulation in terms of the horizontal (characteristic) cohomology. Applications to computing invariants of differential equations are discussed. The lectures contain necessary introductory material on the geometric theory of differential equations and homological algebra.
dc.description150 pages, AmS-LaTeX 1.2 (based on LaTeX 2e), needs to run through LaTeX four times, no figures, Lectures given in August 1998 at the International Summer School in Levoca, Slovakia. Revised version 2 (Mon, 21 Dec 1998): misprints corrected, Definition 4.3 on page 70 changed
dc.identifierhttps://arxiv.org/abs/math/9808130
dc.identifierhttp://arxiv.org/abs/math/9808130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77332
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleHomological Methods in Equations of Mathematical Physics
dc.typetext

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