Given a compact closed simply connected 4-manifold $X$ we know that $\chi(X) \geq 2$ with equality if and only if $X$ is a homotopy sphere. Given a finitely presented group $G$, is there a lower bound on the Euler characteristic that a compact closed connected $4$-manifold with fundamental group $G$ can have?
2025-01-13 07:51:49.1736754709
Is there a lower bound on the Euler characteristic of a four-manifold with given fundamental group?
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