Abstract
A symplectic manifold (M, ω) is said to be prequantizable if there exists a Hermitian line bundle L→M and a connection ▿ on L whose curvature form is w. Prequantizability imposes a strong constraint on the cohomology class [ω] ∈ H2(M, ℝ). Namely, the exact sequence 0→Z→R→S1→0 gives rise to a long exact sequence in cohomology: ...→H1(M,S1→H2(M,Z)→H2(M,R)→...and one can show:
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