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

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

2001-05-25

arxiv.org/abs/math/0105207v2

Acta Appl. Math. 72 (2002), 123-131

Mathematics

Differential Geometry

8 pages; v2: some comments added

Scientific paper

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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