Remarks on two approaches to the horizontal cohomology: compatibility complex and the Koszul-Tate resolution

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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.
8 pages; v2: some comments added

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, Analysis of PDEs, Exactly Solvable and Integrable Systems, 58J70; 35A30; 81T70

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http://salesiana.dossiersoluciones.com/handle/123456789/61530

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105207
 http://arxiv.org/abs/math/0105207
 Acta Appl. Math. 72 (2002), 123-131

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arXiv