Abstract
The Batalin‐Vilkovisky‐Fradkin (BFV) formalism, introduced to handle classical systems equipped with symmetries, associates a differential graded Poisson algebra to any coisotropic submanifold S of a Poisson manifold .M;5/. However, the assignment given by mapping a coisotropic submanifold to a differential graded Poisson algebra is not canonical since in the construction several choices have to be made. One has to fix an embedding of the normal bundle N S of S into M as a tubular neighborhood, a connection r on N S, and a special element . We show that different choices of a connection and an element — but with the tubular neighborhood fixed — lead to isomorphic differential graded Poisson algebras. If the tubular neighborhood is changed as well, invariance can still be restored at the level of germs.
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