= Prequantization
{title2=$[\omega/(2\pi\hbar)]\in H^2(P,\mathbb Z)$}
= Pre-quantization
{synonym}
<Prequantization> realizes a <symplectic manifold> using a Hermitian <line bundle> with connection whose curvature is $i\omega/\hbar$ in the convention $\iota_{X_f}\omega=df$. Its existence requires integral symplectic periods. On sections, the <Kostant-Souriau prequantum operator> represents every classical observable and its <Poisson bracket>, but the resulting states depend on the full phase space. A <polarization in geometric quantization> removes this excess of variables.
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