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Batalin-Vilkovisky formalism in the functional approach to classical field theory
We develop the Batalin-Vilkovisky formalism for classical field theory on
generic globally hyperbolic spacetimes. A crucial aspect of our treatment is
the incorporation of the principle of local covariance which amounts to
formulate the theory without reference to a distinguished spacetime. In
particular, this allows a homological construction of the Poisson algebra of
observables in classical gravity. Our methods heavily rely on the differential
geometry of configuration spaces of classical fields.Comment: 42 pages, improved formulation, typos correcte