English

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

Differential Geometry 2007-05-23 v2 High Energy Physics - Theory Mathematical Physics Analysis of PDEs math.MP Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.math/0105207,
  title  = {Remarks on two approaches to the horizontal cohomology: compatibility complex and the Koszul-Tate resolution},
  author = {Alexander Verbovetsky},
  journal= {arXiv preprint arXiv:math/0105207},
  year   = {2007}
}

Comments

8 pages; v2: some comments added