Rank gradients of infinite cyclic covers of Kaehler manifolds

Stefan Friedl, Stefano Vidussi

Given a Kaehler group $G$ and a primitive class $\varphi \in H^1(G;Z)$, we show that the rank gradient of $(G;\varphi )$ is zero if and only if Ker $\varphi$ is finitely generated. Using this approach…