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Remarks on Two Approaches to the Horizontal Cohomology: Compatibility Complex and the Koszul–Tate Resolution

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Abstract

The Koszul–Tate resolution is described in the context of the geometry of jet spaces and differential equations. The application due to Barnich, Brandt, and Henneaux of this resolution to computing the horizontal cohomology is analyzed. Relations with the Vinogradov spectral sequence are discussed.

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  1. Independent University of Moscow, B. Vlasjevskij per. 11, 121002 Moscow, Russia

    Alexander Verbovetsky

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  1. Alexander Verbovetsky
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Verbovetsky, A. Remarks on Two Approaches to the Horizontal Cohomology: Compatibility Complex and the Koszul–Tate Resolution. Acta Applicandae Mathematicae 72, 123–131 (2002). https://doi.org/10.1023/A:1015276007463

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