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Coboundary expansion and Gromov hyperbolicity (2309.06215v1)
Published 12 Sep 2023 in math.GT and math.GR
Abstract: We prove that if a compact $n$-manifold admits a sequence of residual covers that form a coboundary expander in dimension $n-2$, then the manifold has Gromov-hyperbolic fundamental group. In particular, residual sequences of covers of non-hyperbolic compact connected irreducible 3-manifolds are not 1-coboundary expanders.
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