Abstract:
The curved phase space $M$ of an arbitrary generalized Hamiltonian system
that possesses invariance with respect to a Lie group $G$ is considered. The geometric and BRST quantizations of these phase spaces are considered. For $M$ the space of universal ghosts (specters) $S$ is introduced; it contains the space of ghosts $D$ for any admissible Lie
group $G$ of constraints. The phase manifold $M$ is embedded in the manifold of generalized twistors $Z$. A quantization scheme that generalizes the approaches of the geometric and BRST quantizations is described. In this scheme, the quantum theory is formulated in terms
of the generalized twistor manifold and bundles over it.
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