On forms, cohomology and BV Laplacians in odd symplectic geometry

Abstract We study the cohomology of complexes differential, integral and a particular class pseudo-forms on odd symplectic manifolds taking wedge product with form as differential. thus extend result Ševera related results Khudaverdian–Voronov interpreting BV Laplacian acting half-densities an supermanifold. show that classes are in correspondence inequivalent Lagrangian submanifolds they all define semidensities them. Further, we introduce new operators move from one Lagragian submanifold to another investigate their relation so-called picture changing for de Rham Finally, prove isomorphism between differential extended framework pseudo-forms.