Could you show me some example of compact symplectic 4-manifold $M$ with the torsion in $H_{2}(M;\mathbb{Z})$
2026-03-30 00:21:08.1774830068
Homology of symplectic manifolds
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Try $\mathbb{C}^2\setminus \{0\}/\sim$ where $\sim$ is the quotient by the antipodal map, with the standard Kähler structure. To get it to be compact, quotient it further by $x\mapsto 2x$.