d...-Cohomology of Lagrangian Foliations.
It is shown how to extend the formal variational calculus in order to incorporate integrals of divergences into it. Such a generalization permits to study nontrivial boundary problems in field theory on the base of canonical formalism.
One gives the links between the notions of singular foliations, Γ-structures and momentum mapping in the context of symplectic geometry.