Remarks on two approaches to the horizontal cohomology: compatibility complex and the KoszulTate resolution
Abstract
The KoszulTate 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2001
 arXiv:
 arXiv:math/0105207
 Bibcode:
 2001math......5207V
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Mathematics  Mathematical Physics;
 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 58J70;
 35A30;
 81T70
 EPrint:
 8 pages