Two applications of prequantization in Lagrangian topology. (Q1880147)

The author proves the following result: Let \(N\) be a compact symplectic manifold of dimension \(2n\) with an integral symplectic form \(\omega\). Then, an integral homology class \(\alpha\in H_n(N,\mathbb{Z})\) is a Lagrangian class if and only if \(\alpha \cap [\omega]=0\).