Homological Methods in Equations of Mathematical Physics

Details Homological Methods in Equations of Mathematical Physics Homological Methods in Equations of Mathematical Physics

1998-08-31

arxiv.org/abs/math/9808130v2

Mathematics

Differential Geometry

150 pages, AmS-LaTeX 1.2 (based on LaTeX 2e), needs to run through LaTeX four times, no figures, Lectures given in August 1998

Scientific paper

These 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.

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