Lagrangian formalism on graded manifolds is phrased in terms of the
Grassmann-graded variational bicomplex, generalizing the familiar variational
bicomplex for even Lagrangian systems on fiber bundles.
@article{0504529,
author = {Sardanashvily, G.},
title = {The variational bicomplex on graded manifolds and its cohomology},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0504529}
}
Sardanashvily, G. The variational bicomplex on graded manifolds and its cohomology. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504529/