Cohomology of the variational bicomplex in the calculus of variations in
classical field theory are computed in the class of exteriror forms of finite
jet order. This provides a solution of the global inverse problem of the finite
order calculus of variations.
@article{0005010,
author = {Giachetta, G. and Mangiarotti, L. and Sardanashvily, G.},
title = {Cohomology of the variational complex},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0005010}
}
Giachetta, G.; Mangiarotti, L.; Sardanashvily, G. Cohomology of the variational complex. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0005010/