Abstract
Covariant operator realization of Dirac constraints is proposed in theories of the gravitational type, subject to Hamiltonian and momentum constraints. This realization is based on their metric and Killing configuration-space structures, has Hermitian conjugation properties following from the BFV quantization method and generalizes to the level of the exact theory (apart from the problem of the ultraviolet regularization and anomalies) the recently proposed semiclassical algorithms in models with arbitrary first-class constraints.
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