Cohomology of the variational complex
Mathematical Physics
2007-05-23 v4 Algebraic Topology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0005010,
title = {Cohomology of the variational complex},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:math-ph/0005010},
year = {2007}
}
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21 pages